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20712240 = 2433543223
BaseRepresentation
bin100111100000…
…0101100110000
31102222021212000
41033000230300
520300242430
62015534000
7341023353
oct117005460
942867760
1020712240
111076745a
126b2a300
1343a2683
142a7229a
151c41e60
hex13c0b30

20712240 has 160 divisors (see below), whose sum is σ = 73328640. Its totient is φ = 5370624.

The previous prime is 20712227. The next prime is 20712253. The reversal of 20712240 is 4221702.

It is an interprime number because it is at equal distance from previous prime (20712227) and next prime (20712253).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 92769 + ... + 92991.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 220712240 is an apocalyptic number.

20712240 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 20712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36664320).

20712240 is an abundant number, since it is smaller than the sum of its proper divisors (52616400).

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

20712240 is a wasteful number, since it uses less digits than its factorization.

20712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20712240 is about 4551.0702038092. The cubic root of 20712240 is about 274.6264459701.

Adding to 20712240 its reverse (4221702), we get a palindrome (24933942).

The spelling of 20712240 in words is "twenty million, seven hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 144 172 180 215 216 223 240 258 270 344 360 387 430 432 446 516 540 645 669 688 720 774 860 892 1032 1080 1115 1161 1290 1338 1548 1720 1784 1935 2007 2064 2160 2230 2322 2580 2676 3096 3345 3440 3568 3870 4014 4460 4644 5160 5352 5805 6021 6192 6690 7740 8028 8920 9288 9589 10035 10320 10704 11610 12042 13380 15480 16056 17840 18576 19178 20070 23220 24084 26760 28767 30105 30960 32112 38356 40140 46440 47945 48168 53520 57534 60210 76712 80280 86301 92880 95890 96336 115068 120420 143835 153424 160560 172602 191780 230136 240840 258903 287670 345204 383560 431505 460272 481680 517806 575340 690408 767120 863010 1035612 1150680 1294515 1380816 1726020 2071224 2301360 2589030 3452040 4142448 5178060 6904080 10356120 20712240