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126746976 = 2538315907
BaseRepresentation
bin1111000111000…
…00000101100000
322211111102011110
413203200011200
5224421400401
620324343320
73066221466
oct743400540
9284442143
10126746976
11655aa974
1236544b40
1320349c15
1412b94836
15b1d99d6
hex78e0160

126746976 has 48 divisors (see below), whose sum is σ = 336740544. Its totient is φ = 41737344.

The previous prime is 126746953. The next prime is 126746981. The reversal of 126746976 is 679647621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 15 + ... + 15921.

It is an arithmetic number, because the mean of its divisors is an integer number (7015428).

Almost surely, 2126746976 is an apocalyptic number.

126746976 is a gapful number since it is divisible by the number (16) 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 126746976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168370272).

126746976 is an abundant number, since it is smaller than the sum of its proper divisors (209993568).

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

126746976 is a wasteful number, since it uses less digits than its factorization.

126746976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16003 (or 15995 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 126746976 is about 11258.1959478417. The cubic root of 126746976 is about 502.3185335200.

The spelling of 126746976 in words is "one hundred twenty-six million, seven hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 15907 31814 47721 63628 95442 127256 190884 254512 381768 509024 763536 1320281 1527072 2640562 3960843 5281124 7921686 10562248 15843372 21124496 31686744 42248992 63373488 126746976