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21157696 = 26783569
BaseRepresentation
bin101000010110…
…1011101000000
31110210220220101
41100231131000
520404021241
62033252144
7344560150
oct120553500
943726811
1021157696
1110a410aa
127104054
1344ca361
142b4a760
151ccde31
hex142d740

21157696 has 56 divisors (see below), whose sum is σ = 48646080. Its totient is φ = 8942592.

The previous prime is 21157693. The next prime is 21157699. The reversal of 21157696 is 69675112.

It is an interprime number because it is at equal distance from previous prime (21157693) and next prime (21157699).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21157693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36900 + ... + 37468.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 221157696 is an apocalyptic number.

21157696 is the 2656-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21157696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24323040).

21157696 is an abundant number, since it is smaller than the sum of its proper divisors (27488384).

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

21157696 is an equidigital number, since it uses as much as digits as its factorization.

21157696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 661 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 21157696 is about 4599.7495583999. The cubic root of 21157696 is about 276.5812855679.

The spelling of 21157696 in words is "twenty-one million, one hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 569 581 664 1138 1162 1328 2276 2324 2656 3983 4552 4648 5312 7966 9104 9296 15932 18208 18592 31864 36416 37184 47227 63728 94454 127456 188908 254912 330589 377816 661178 755632 1322356 1511264 2644712 3022528 5289424 10578848 21157696