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20202004240 = 24511139317521
BaseRepresentation
bin10010110100001000…
…100001111100010000
31221010220122010222021
4102310020201330100
5312333203113430
613140343021224
71313424126355
oct226410417420
957126563867
1020202004240
118627560880
123ab973a814
131b9c4b4282
14d9906a62c
157d386e07a
hex4b4221f10

20202004240 has 160 divisors (see below), whose sum is σ = 51870430080. Its totient is φ = 7256371200.

The previous prime is 20202004237. The next prime is 20202004271. The reversal of 20202004240 is 4240020202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38775180 + ... + 38775700.

It is an arithmetic number, because the mean of its divisors is an integer number (324190188).

Almost surely, 220202004240 is an apocalyptic number.

20202004240 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 20202004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25935215040).

20202004240 is an abundant number, since it is smaller than the sum of its proper divisors (31668425840).

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

20202004240 is a wasteful number, since it uses less digits than its factorization.

20202004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20202004240 its reverse (4240020202), we get a palindrome (24442024442).

The spelling of 20202004240 in words is "twenty billion, two hundred two million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 317 440 521 556 634 695 880 1042 1112 1268 1390 1529 1585 2084 2224 2536 2605 2780 3058 3170 3487 4168 5072 5210 5560 5731 6116 6340 6974 7645 8336 10420 11120 11462 12232 12680 13948 15290 17435 20840 22924 24464 25360 27896 28655 30580 34870 41680 44063 45848 55792 57310 61160 69740 72419 88126 91696 114620 122320 139480 144838 165157 176252 220315 229240 278960 289676 330314 352504 362095 440630 458480 484693 579352 660628 705008 724190 796609 825785 881260 969386 1158704 1321256 1448380 1593218 1651570 1762520 1816727 1938772 2423465 2642512 2896760 3186436 3303140 3525040 3633454 3877544 3983045 4846930 5793520 6372872 6606280 7266908 7755088 7966090 9083635 9693860 12745744 13212560 14533816 15932180 18167270 19387720 22956823 29067632 31864360 36334540 38775440 45913646 63728720 72669080 91827292 114784115 145338160 183654584 229568230 252525053 367309168 459136460 505050106 918272920 1010100212 1262625265 1836545840 2020200424 2525250530 4040400848 5050501060 10101002120 20202004240