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21397152 = 2537171873
BaseRepresentation
bin101000110011…
…1111010100000
31111021002101010
41101213322200
520434202102
62042340520
7346605240
oct121477240
944232333
1021397152
1111094aa7
1271ba740
13458234a
142badb20
151d29d6c
hex1467ea0

21397152 has 96 divisors (see below), whose sum is σ = 68003712. Its totient is φ = 5750784.

The previous prime is 21397139. The next prime is 21397171. The reversal of 21397152 is 25179312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×213971522 = 915676227422208, which contains 22 as substring.

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, 10488 + ... + 12360.

It is an arithmetic number, because the mean of its divisors is an integer number (708372).

Almost surely, 221397152 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 21397152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34001856).

21397152 is an abundant number, since it is smaller than the sum of its proper divisors (46606560).

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

21397152 is a wasteful number, since it uses less digits than its factorization.

21397152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1902 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 21397152 is about 4625.7055678026. The cubic root of 21397152 is about 277.6207931228.

The spelling of 21397152 in words is "twenty-one million, three hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1873 1904 2856 3746 3808 5619 5712 7492 11238 11424 13111 14984 22476 26222 29968 31841 39333 44952 52444 59936 63682 78666 89904 95523 104888 127364 157332 179808 191046 209776 222887 254728 314664 382092 419552 445774 509456 629328 668661 764184 891548 1018912 1258656 1337322 1528368 1783096 2674644 3056736 3566192 5349288 7132384 10698576 21397152