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94136480 = 2551753653
BaseRepresentation
bin1011001110001…
…10100010100000
320120010121222022
411213012202200
5143044331410
613201401012
72222101244
oct547064240
9216117868
1094136480
1149157149
1227639168
131666c979
14c706424
1583e7455
hex59c68a0

94136480 has 96 divisors (see below), whose sum is σ = 240290064. Its totient is φ = 34717696.

The previous prime is 94136477. The next prime is 94136489. The reversal of 94136480 is 8463149.

It can be written as a sum of positive squares in 8 ways, for example, as 51782416 + 42354064 = 7196^2 + 6508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 94136480.

It is not an unprimeable number, because it can be changed into a prime (94136489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143834 + ... + 144486.

Almost surely, 294136480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120145032).

94136480 is an abundant number, since it is smaller than the sum of its proper divisors (146153584).

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

94136480 is a wasteful number, since it uses less digits than its factorization.

94136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 94136480 is about 9702.3955804739. The cubic root of 94136480 is about 454.9035419244.

The spelling of 94136480 in words is "ninety-four million, one hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 68 80 85 106 136 160 170 212 265 272 340 424 530 544 653 680 848 901 1060 1306 1360 1696 1802 2120 2612 2720 3265 3604 4240 4505 5224 6530 7208 8480 9010 10448 11101 13060 14416 18020 20896 22202 26120 28832 34609 36040 44404 52240 55505 69218 72080 88808 104480 111010 138436 144160 173045 177616 222020 276872 346090 355232 444040 553744 588353 692180 888080 1107488 1176706 1384360 1776160 2353412 2768720 2941765 4706824 5537440 5883530 9413648 11767060 18827296 23534120 47068240 94136480