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20284930680 = 2335724148727
BaseRepresentation
bin10010111001000100…
…110111101001111000
31221100200200020122220
4102321010313221320
5313020420240210
613152504244040
71315452031410
oct227104675170
957320606586
1020284930680
11866a350723
123b21470620
131bb372a681
14da6095640
157dac9ec70
hex4b9137a78

20284930680 has 64 divisors (see below), whose sum is σ = 69548336640. Its totient is φ = 4636555392.

The previous prime is 20284930663. The next prime is 20284930703. The reversal of 20284930680 is 8603948202.

It is a super-3 number, since 3×202849306803 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12073524 + ... + 12075203.

It is an arithmetic number, because the mean of its divisors is an integer number (1086692760).

Almost surely, 220284930680 is an apocalyptic number.

20284930680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20284930680 is an abundant number, since it is smaller than the sum of its proper divisors (49263405960).

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

20284930680 is a wasteful number, since it uses less digits than its factorization.

20284930680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24148748 (or 24148744 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 20284930680 in words is "twenty billion, two hundred eighty-four million, nine hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 24148727 48297454 72446181 96594908 120743635 144892362 169041089 193189816 241487270 289784724 338082178 362230905 482974540 507123267 579569448 676164356 724461810 845205445 965949080 1014246534 1352328712 1448923620 1690410890 2028493068 2535616335 2897847240 3380821780 4056986136 5071232670 6761643560 10142465340 20284930680