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20011176240 = 24351129261379
BaseRepresentation
bin10010101000110000…
…100101000100110000
31220122121120002011120
4102220300211010300
5311440330114430
613105404542240
71305616122456
oct225060450460
956577502146
1020011176240
118539872990
123a65851980
131b6babb9b3
14d7b9949d6
157c1c27610
hex4a8c25130

20011176240 has 160 divisors (see below), whose sum is σ = 70008019200. Its totient is φ = 4683893760.

The previous prime is 20011176233. The next prime is 20011176271. The reversal of 20011176240 is 4267111002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20011176240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54130 + ... + 207249.

It is an arithmetic number, because the mean of its divisors is an integer number (437550120).

Almost surely, 220011176240 is an apocalyptic number.

20011176240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011176240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35004009600).

20011176240 is an abundant number, since it is smaller than the sum of its proper divisors (49996842960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20011176240 is a wasteful number, since it uses less digits than its factorization.

20011176240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261435 (or 261429 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 20011176240 its reverse (4267111002), we get a palindrome (24278287242).

It can be divided in two parts, 20011 and 176240, that added together give a triangular number (196251 = T626).

The spelling of 20011176240 in words is "twenty billion, eleven million, one hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 261379 522758 784137 1045516 1306895 1568274 2091032 2613790 2875169 3136548 3920685 4182064 5227580 5750338 6273096 7579991 7841370 8625507 10455160 11500676 12546192 14375845 15159982 15682740 17251014 20910320 22739973 23001352 28751690 30319964 31365480 34502028 37899955 43127535 45479946 46002704 57503380 60639928 62730960 69004056 75799910 83379901 86255070 90959892 113699865 115006760 121279856 138008112 151599820 166759802 172510140 181919784 227399730 230013520 250139703 303199640 333519604 345020280 363839568 416899505 454799460 500279406 606399280 667039208 690040560 833799010 909598920 1000558812 1250698515 1334078416 1667598020 1819197840 2001117624 2501397030 3335196040 4002235248 5002794060 6670392080 10005588120 20011176240