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126640908 = 22351131153
BaseRepresentation
bin1111000110001…
…10001100001100
322211022000200000
413203012030030
5224410002113
620322204300
73065300322
oct743061414
9284260600
10126640908
1165538209
12364b3690
1320310864
1412b67d12
15b1b8373
hex78c630c

126640908 has 72 divisors (see below), whose sum is σ = 335204688. Its totient is φ = 41803776.

The previous prime is 126640907. The next prime is 126640933. The reversal of 126640908 is 809046621.

126640908 is a `hidden beast` number, since 1 + 2 + 6 + 640 + 9 + 0 + 8 = 666.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (126640901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109260 + ... + 110412.

Almost surely, 2126640908 is an apocalyptic number.

126640908 is a gapful number since it is divisible by the number (18) 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 126640908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167602344).

126640908 is an abundant number, since it is smaller than the sum of its proper divisors (208563780).

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

126640908 is a wasteful number, since it uses less digits than its factorization.

126640908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

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

The square root of 126640908 is about 11253.4842604413. The cubic root of 126640908 is about 502.1783729333.

The spelling of 126640908 in words is "one hundred twenty-six million, six hundred forty thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 972 1017 1153 1356 2034 2306 3051 3459 4068 4612 6102 6918 9153 10377 12204 13836 18306 20754 27459 31131 36612 41508 54918 62262 93393 109836 124524 130289 186786 260578 280179 373572 390867 521156 560358 781734 1120716 1172601 1563468 2345202 3517803 4690404 7035606 10553409 14071212 21106818 31660227 42213636 63320454 126640908