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126950112 = 2533146933
BaseRepresentation
bin1111001000100…
…01101011100000
322211212201211000
413210101223200
5224444400422
620332552000
73101025642
oct744215340
9284781730
10126950112
1165729553
1236622600
13203bb513
1412c08892
15b229cac
hex7911ae0

126950112 has 48 divisors (see below), whose sum is σ = 370273680. Its totient is φ = 42316416.

The previous prime is 126950093. The next prime is 126950113. The reversal of 126950112 is 211059621.

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

It is a super-2 number, since 2×1269501122 = 32232661873625088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126950113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72603 + ... + 74330.

It is an arithmetic number, because the mean of its divisors is an integer number (7714035).

Almost surely, 2126950112 is an apocalyptic number.

126950112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126950112 is an abundant number, since it is smaller than the sum of its proper divisors (243323568).

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

126950112 is a wasteful number, since it uses less digits than its factorization.

126950112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146952 (or 146938 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 126950112 is about 11267.2140300963. The cubic root of 126950112 is about 502.5867437686.

The spelling of 126950112 in words is "one hundred twenty-six million, nine hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 146933 293866 440799 587732 881598 1175464 1322397 1763196 2350928 2644794 3526392 3967191 4701856 5289588 7052784 7934382 10579176 14105568 15868764 21158352 31737528 42316704 63475056 126950112