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21117138 = 237331331
BaseRepresentation
bin101000010001…
…1100011010010
31110201212021020
41100203203102
520401222023
62032340310
7344331000
oct120434322
943655236
1021117138
1110a13689
1270a4696
1344b4a63
142b39a70
151cc1de3
hex14238d2

21117138 has 64 divisors (see below), whose sum is σ = 50995200. Its totient is φ = 5821200.

The previous prime is 21117137. The next prime is 21117193. The reversal of 21117138 is 83171112.

It is a happy number.

It is a super-2 number, since 2×211171382 = 891867034622088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21117137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63633 + ... + 63963.

It is an arithmetic number, because the mean of its divisors is an integer number (796800).

Almost surely, 221117138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21117138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25497600).

21117138 is an abundant number, since it is smaller than the sum of its proper divisors (29878062).

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

21117138 is a wasteful number, since it uses less digits than its factorization.

21117138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 21117138 is about 4595.3387252737. The cubic root of 21117138 is about 276.4044427581.

The spelling of 21117138 in words is "twenty-one million, one hundred seventeen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 331 343 434 651 662 686 993 1029 1302 1519 1986 2058 2317 3038 4557 4634 6951 9114 10261 10633 13902 16219 20522 21266 30783 31899 32438 48657 61566 63798 71827 97314 113533 143654 215481 227066 340599 430962 502789 681198 1005578 1508367 3016734 3519523 7039046 10558569 21117138