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107077284 = 22322974369
BaseRepresentation
bin1100110000111…
…01111010100100
321110111002102100
412120131322210
5204402433114
614343012100
72440066446
oct630357244
9243432370
10107077284
1155495826
122ba3a030
1319250c52
1410314496
159601909
hex661dea4

107077284 has 18 divisors (see below), whose sum is σ = 270667670. Its totient is φ = 35692416.

The previous prime is 107077279. The next prime is 107077291. The reversal of 107077284 is 482770701.

It can be written as a sum of positive squares in only one way, i.e., 105637284 + 1440000 = 10278^2 + 1200^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1070772842 = 22931089497633312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2974369 = 107077284 / (1 + 0 + 7 + 0 + 7 + 7 + 2 + 8 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1487149 + ... + 1487220.

Almost surely, 2107077284 is an apocalyptic number.

It is an amenable number.

107077284 is an abundant number, since it is smaller than the sum of its proper divisors (163590386).

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

107077284 is a wasteful number, since it uses less digits than its factorization.

107077284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974379 (or 2974374 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 107077284 is about 10347.8154216240. The cubic root of 107077284 is about 474.8602122362.

The spelling of 107077284 in words is "one hundred seven million, seventy-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2974369 5948738 8923107 11897476 17846214 26769321 35692428 53538642 107077284