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1125794016 = 253231126097
BaseRepresentation
bin100001100011010…
…0100000011100000
32220110101021001200
41003012210003200
54301200402031
6303413401200
736620043204
oct10306440340
92813337050
101125794016
11528532786
12275039200
1314c312409
14a9734b04
1568c7d8e6
hex431a40e0

1125794016 has 72 divisors (see below), whose sum is σ = 3304776384. Its totient is φ = 363156480.

The previous prime is 1125794011. The next prime is 1125794053. The reversal of 1125794016 is 6104975211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11257940162 = 2534824332922816512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125794011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54121 + ... + 71976.

It is an arithmetic number, because the mean of its divisors is an integer number (45899672).

Almost surely, 21125794016 is an apocalyptic number.

1125794016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1125794016 is an abundant number, since it is smaller than the sum of its proper divisors (2178982368).

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

1125794016 is a wasteful number, since it uses less digits than its factorization.

1125794016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126144 (or 126133 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1125794016 is about 33552.8540663831. The cubic root of 1125794016 is about 1040.2865384034.

The spelling of 1125794016 in words is "one billion, one hundred twenty-five million, seven hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 126097 252194 378291 504388 756582 1008776 1134873 1513164 2017552 2269746 3026328 3909007 4035104 4539492 6052656 7818014 9078984 11727021 12105312 15636028 18157968 23454042 31272056 35181063 36315936 46908084 62544112 70362126 93816168 125088224 140724252 187632336 281448504 375264672 562897008 1125794016