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10683252 = 223529379
BaseRepresentation
bin101000110000…
…001101110100
3202002202200000
4220300031310
510213331002
61020551300
7156543336
oct50601564
922082600
1010683252
116037538
1236b2530
1322a0868
1415c1456
15e1061c
hexa30374

10683252 has 72 divisors (see below), whose sum is σ = 29047200. Its totient is φ = 3429216.

The previous prime is 10683229. The next prime is 10683271. The reversal of 10683252 is 25238601.

It is a super-2 number, since 2×106832522 = 228263746591008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27999 + ... + 28377.

Almost surely, 210683252 is an apocalyptic number.

10683252 is a gapful number since it is divisible by the number (12) 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 10683252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14523600).

10683252 is an abundant number, since it is smaller than the sum of its proper divisors (18363948).

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

10683252 is a wasteful number, since it uses less digits than its factorization.

10683252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10683252 is about 3268.5244377242. The cubic root of 10683252 is about 220.2425149368.

The spelling of 10683252 in words is "ten million, six hundred eighty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 379 486 522 758 783 972 1044 1137 1516 1566 2274 2349 3132 3411 4548 4698 6822 7047 9396 10233 10991 13644 14094 20466 21982 28188 30699 32973 40932 43964 61398 65946 92097 98919 122796 131892 184194 197838 296757 368388 395676 593514 890271 1187028 1780542 2670813 3561084 5341626 10683252