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126941328 = 2432881537
BaseRepresentation
bin1111001000011…
…11100010010000
322211212021202200
413210033202100
5224444110303
620332443200
73100661223
oct744174220
9284767680
10126941328
1165722998
1236619500
13203b7517
1412c055ba
15b2273a3
hex790f890

126941328 has 30 divisors (see below), whose sum is σ = 355259814. Its totient is φ = 42313728.

The previous prime is 126941327. The next prime is 126941357. The reversal of 126941328 is 823149621.

It can be written as a sum of positive squares in only one way, i.e., 124277904 + 2663424 = 11148^2 + 1632^2 .

It is a super-2 number, since 2×1269413282 = 32228201508807168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126941292 and 126941301.

It is not an unprimeable number, because it can be changed into a prime (126941327) 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, 440625 + ... + 440912.

Almost surely, 2126941328 is an apocalyptic number.

126941328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126941328 is an abundant number, since it is smaller than the sum of its proper divisors (228318486).

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

126941328 is a wasteful number, since it uses less digits than its factorization.

126941328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881551 (or 881542 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 126941328 is about 11266.8242198057. The cubic root of 126941328 is about 502.5751517511.

The spelling of 126941328 in words is "one hundred twenty-six million, nine hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 881537 1763074 2644611 3526148 5289222 7052296 7933833 10578444 14104592 15867666 21156888 31735332 42313776 63470664 126941328