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94130496 = 2632179613
BaseRepresentation
bin1011001110001…
…01000101000000
320120010022202200
411213011011000
5143044133441
613201313200
72222044635
oct547050500
9216108680
1094130496
11491526a9
1227635800
131666a025
14c70418c
1583e57b6
hex59c5140

94130496 has 84 divisors (see below), whose sum is σ = 285708852. Its totient is φ = 29528064.

The previous prime is 94130471. The next prime is 94130521. The reversal of 94130496 is 69403149.

It is an interprime number because it is at equal distance from previous prime (94130471) and next prime (94130521).

It can be written as a sum of positive squares in 2 ways, for example, as 87160896 + 6969600 = 9336^2 + 2640^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 94130496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4986 + ... + 14598.

Almost surely, 294130496 is an apocalyptic number.

94130496 is a gapful number since it is divisible by the number (96) 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 94130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142854426).

94130496 is an abundant number, since it is smaller than the sum of its proper divisors (191578356).

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

94130496 is a wasteful number, since it uses less digits than its factorization.

94130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9648 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 94130496 is about 9702.0871981239. The cubic root of 94130496 is about 454.8939027266.

The spelling of 94130496 in words is "ninety-four million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9613 9792 19226 28839 38452 57678 76904 86517 115356 153808 163421 173034 230712 307616 326842 346068 461424 490263 615232 653684 692136 922848 980526 1307368 1384272 1470789 1845696 1961052 2614736 2768544 2941578 3922104 5229472 5537088 5883156 7844208 10458944 11766312 15688416 23532624 31376832 47065248 94130496