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21372736 = 267114337
BaseRepresentation
bin101000110000…
…1111101000000
31111012211212211
41101201331000
520432411421
62042031504
7346444120
oct121417500
944184784
1021372736
1111078720
1271a8594
1345741b8
142ba4c80
151d229e1
hex1461f40

21372736 has 56 divisors (see below), whose sum is σ = 52888896. Its totient is φ = 8325120.

The previous prime is 21372719. The next prime is 21372737. The reversal of 21372736 is 63727312.

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

It is a junction number, because it is equal to n+sod(n) for n = 21372698 and 21372707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21372737) 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, 2760 + ... + 7096.

Almost surely, 221372736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26444448).

21372736 is an abundant number, since it is smaller than the sum of its proper divisors (31516160).

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

21372736 is a wasteful number, since it uses less digits than its factorization.

21372736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4357 counting only the distinct ones).

The product of its digits is 10584, while the sum is 31.

The square root of 21372736 is about 4623.0656495447. The cubic root of 21372736 is about 277.5151564916.

It can be divided in two parts, 2 and 1372736, that multiplied together give a palindrome (2745472).

The spelling of 21372736 in words is "twenty-one million, three hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4337 4928 8674 17348 30359 34696 47707 60718 69392 95414 121436 138784 190828 242872 277568 333949 381656 485744 667898 763312 971488 1335796 1526624 1942976 2671592 3053248 5343184 10686368 21372736