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21400652460 = 223511149217619
BaseRepresentation
bin10011111011100101…
…000000101010101100
32001020110002210012210
4103323211000222230
5322312031334320
613455322130420
71355220354525
oct237345005254
961213083183
1021400652460
119092123a40
124193050a10
132030924385
14107032784c
15853bde0e0
hex4fb940aac

21400652460 has 96 divisors (see below), whose sum is σ = 65808288000. Its totient is φ = 5153194240.

The previous prime is 21400652459. The next prime is 21400652461. The reversal of 21400652460 is 6425600412.

It is an interprime number because it is at equal distance from previous prime (21400652459) and next prime (21400652461).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21400652461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10470 + ... + 207149.

It is an arithmetic number, because the mean of its divisors is an integer number (685503000).

Almost surely, 221400652460 is an apocalyptic number.

21400652460 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 21400652460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904144000).

21400652460 is an abundant number, since it is smaller than the sum of its proper divisors (44407635540).

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

21400652460 is a wasteful number, since it uses less digits than its factorization.

21400652460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217791 (or 217789 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 21400652460 in words is "twenty-one billion, four hundred million, six hundred fifty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 149 165 220 298 330 447 596 660 745 894 1490 1639 1788 2235 2980 3278 4470 4917 6556 8195 8940 9834 16390 19668 24585 32780 49170 98340 217619 435238 652857 870476 1088095 1305714 2176190 2393809 2611428 3264285 4352380 4787618 6528570 7181427 9575236 11969045 13057140 14362854 23938090 28725708 32425231 35907135 47876180 64850462 71814270 97275693 129700924 143628540 162126155 194551386 324252310 356677541 389102772 486378465 648504620 713355082 972756930 1070032623 1426710164 1783387705 1945513860 2140065246 3566775410 4280130492 5350163115 7133550820 10700326230 21400652460