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1024116372 = 223431101963
BaseRepresentation
bin111101000010101…
…100011010010100
32122101001111120000
4331002230122110
54044133210442
6245342211300
734243563006
oct7502543224
92571044500
101024116372
114860a5874
12246b83b30
13134232126
149a028376
155ed96d4c
hex3d0ac694

1024116372 has 60 divisors (see below), whose sum is σ = 2763632256. Its totient is φ = 330356880.

The previous prime is 1024116293. The next prime is 1024116389. The reversal of 1024116372 is 2736114201.

1024116372 is a `hidden beast` number, since 1 + 0 + 24 + 1 + 1 + 637 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40938 + ... + 61025.

Almost surely, 21024116372 is an apocalyptic number.

1024116372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024116372 is an abundant number, since it is smaller than the sum of its proper divisors (1739515884).

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

1024116372 is a wasteful number, since it uses less digits than its factorization.

1024116372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102010 (or 101999 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1024116372 is about 32001.8182608426. The cubic root of 1024116372 is about 1007.9750206395.

The spelling of 1024116372 in words is "one billion, twenty-four million, one hundred sixteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 10044 101963 203926 305889 407852 611778 917667 1223556 1835334 2753001 3160853 3670668 5506002 6321706 8259003 9482559 11012004 12643412 16518006 18965118 28447677 33036012 37930236 56895354 85343031 113790708 170686062 256029093 341372124 512058186 1024116372