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21557020 = 22517194771
BaseRepresentation
bin101001000111…
…0111100011100
31111120012200011
41102032330130
521004311040
62050013004
7351142312
oct122167434
944505604
1021557020
1111194121
127277164
13460a044
142c120b2
151d5c3ea
hex148ef1c

21557020 has 96 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 7418880.

The previous prime is 21557017. The next prime is 21557023. The reversal of 21557020 is 2075512.

It is an interprime number because it is at equal distance from previous prime (21557017) and next prime (21557023).

It is a super-2 number, since 2×215570202 = 929410222560800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21556982 and 21557000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21557023) by changing a digit.

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, 303585 + ... + 303655.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 221557020 is an apocalyptic number.

21557020 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 21557020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

21557020 is an abundant number, since it is smaller than the sum of its proper divisors (30697700).

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

21557020 is a wasteful number, since it uses less digits than its factorization.

21557020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 21557020 is about 4642.9538011917. The cubic root of 21557020 is about 278.3104893184.

The spelling of 21557020 in words is "twenty-one million, five hundred fifty-seven thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 47 68 71 76 85 94 95 142 170 188 190 235 284 323 340 355 380 470 646 710 799 893 940 1207 1292 1349 1420 1598 1615 1786 2414 2698 3196 3230 3337 3572 3995 4465 4828 5396 6035 6460 6674 6745 7990 8930 12070 13348 13490 15181 15980 16685 17860 22933 24140 26980 30362 33370 45866 56729 60724 63403 66740 75905 91732 113458 114665 126806 151810 226916 229330 253612 283645 303620 317015 458660 567290 634030 1077851 1134580 1268060 2155702 4311404 5389255 10778510 21557020