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126812480 = 2651392851
BaseRepresentation
bin1111000111100…
…00000101000000
322211121202000112
413203300011000
5224430444410
620330010452
73066613454
oct743600500
9284552015
10126812480
1165645103
1236576a28
1320370992
1412bb0664
15b1ee105
hex78f0140

126812480 has 56 divisors (see below), whose sum is σ = 304251360. Its totient is φ = 50342400.

The previous prime is 126812471. The next prime is 126812507. The reversal of 126812480 is 84218621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43055 + ... + 45905.

It is an arithmetic number, because the mean of its divisors is an integer number (5433060).

Almost surely, 2126812480 is an apocalyptic number.

126812480 is a gapful number since it is divisible by the number (10) 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 126812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152125680).

126812480 is an abundant number, since it is smaller than the sum of its proper divisors (177438880).

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

126812480 is a wasteful number, since it uses less digits than its factorization.

126812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 126812480 is about 11261.1047415429. The cubic root of 126812480 is about 502.4050528925.

The spelling of 126812480 in words is "one hundred twenty-six million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 139 160 278 320 556 695 1112 1390 2224 2780 2851 4448 5560 5702 8896 11120 11404 14255 22240 22808 28510 44480 45616 57020 91232 114040 182464 228080 396289 456160 792578 912320 1585156 1981445 3170312 3962890 6340624 7925780 12681248 15851560 25362496 31703120 63406240 126812480