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113476480 = 2751323593
BaseRepresentation
bin1101100001110…
…00001110000000
321220112012110121
412300320032000
5213022221410
615132110024
72545351135
oct660701600
9256465417
10113476480
1159066617
1232005314
131a681860
14110dc58c
159e679da
hex6c38380

113476480 has 128 divisors (see below), whose sum is σ = 305363520. Its totient is φ = 40009728.

The previous prime is 113476459. The next prime is 113476481. The reversal of 113476480 is 84674311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113476481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191064 + ... + 191656.

Almost surely, 2113476480 is an apocalyptic number.

113476480 is a gapful number since it is divisible by the number (10) 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 113476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152681760).

113476480 is an abundant number, since it is smaller than the sum of its proper divisors (191887040).

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

113476480 is a wasteful number, since it uses less digits than its factorization.

113476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 113476480 is about 10652.5339708447. The cubic root of 113476480 is about 484.1373833073.

The spelling of 113476480 in words is "one hundred thirteen million, four hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 260 299 320 368 416 460 520 593 598 640 736 832 920 1040 1186 1196 1472 1495 1664 1840 2080 2372 2392 2944 2965 2990 3680 4160 4744 4784 5930 5980 7360 7709 8320 9488 9568 11860 11960 13639 14720 15418 18976 19136 23720 23920 27278 30836 37952 38272 38545 47440 47840 54556 61672 68195 75904 77090 94880 95680 109112 123344 136390 154180 177307 189760 191360 218224 246688 272780 308360 354614 379520 436448 493376 545560 616720 709228 872896 886535 986752 1091120 1233440 1418456 1745792 1773070 2182240 2466880 2836912 3546140 4364480 4933760 5673824 7092280 8728960 11347648 14184560 22695296 28369120 56738240 113476480