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126887328 = 2532440581
BaseRepresentation
bin1111001000000…
…10010110100000
322211202112200200
413210002112200
5224440343303
620331345200
73100344621
oct744022640
9284675620
10126887328
1165696367
12365b2200
1320398a79
1412bcda48
15b2163a3
hex79025a0

126887328 has 36 divisors (see below), whose sum is σ = 360836658. Its totient is φ = 42295680.

The previous prime is 126887323. The next prime is 126887429. The reversal of 126887328 is 823788621.

It can be written as a sum of positive squares in only one way, i.e., 101364624 + 25522704 = 10068^2 + 5052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1268873282 = 32200788013959168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126887323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 220003 + ... + 220578.

Almost surely, 2126887328 is an apocalyptic number.

126887328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126887328 is an abundant number, since it is smaller than the sum of its proper divisors (233949330).

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

126887328 is a wasteful number, since it uses less digits than its factorization.

126887328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440597 (or 440586 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 126887328 is about 11264.4275487039. The cubic root of 126887328 is about 502.5038775969.

The spelling of 126887328 in words is "one hundred twenty-six million, eight hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 440581 881162 1321743 1762324 2643486 3524648 3965229 5286972 7049296 7930458 10573944 14098592 15860916 21147888 31721832 42295776 63443664 126887328