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126890232 = 23371037333
BaseRepresentation
bin1111001000000…
…11000011111000
322211202200200020
413210003003320
5224440441412
620331410440
73100356240
oct744030370
9284680606
10126890232
1165698567
12365b3a20
132039a1a1
1412bd0b20
15b21718c
hex79030f8

126890232 has 64 divisors (see below), whose sum is σ = 366113280. Its totient is φ = 35897472.

The previous prime is 126890221. The next prime is 126890293. The reversal of 126890232 is 232098621.

It is a happy number.

It is a super-2 number, since 2×1268902322 = 32202261954027648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126890193 and 126890202.

It is a congruent number.

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, 13638 + ... + 20970.

It is an arithmetic number, because the mean of its divisors is an integer number (5720520).

Almost surely, 2126890232 is an apocalyptic number.

126890232 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 126890232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183056640).

126890232 is an abundant number, since it is smaller than the sum of its proper divisors (239223048).

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

126890232 is a wasteful number, since it uses less digits than its factorization.

126890232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7452 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 126890232 is about 11264.5564493237. The cubic root of 126890232 is about 502.5077110769.

The spelling of 126890232 in words is "one hundred twenty-six million, eight hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1236 1442 2163 2472 2884 4326 5768 7333 8652 14666 17304 21999 29332 43998 51331 58664 87996 102662 153993 175992 205324 307986 410648 615972 755299 1231944 1510598 2265897 3021196 4531794 5287093 6042392 9063588 10574186 15861279 18127176 21148372 31722558 42296744 63445116 126890232