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113066496 = 29338179
BaseRepresentation
bin1101011110101…
…00001000000000
321212202101002000
412233110020000
5212421111441
615115224000
72542022634
oct657241000
9255671060
10113066496
1158906594
1231a48000
131a56a06a
1411032dc4
159dd62b6
hex6bd4200

113066496 has 80 divisors (see below), whose sum is σ = 334725600. Its totient is φ = 37684224.

The previous prime is 113066491. The next prime is 113066509. The reversal of 113066496 is 694660311.

113066496 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 6 + 649 + 6 = 666.

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 113066496.

It is not an unprimeable number, because it can be changed into a prime (113066491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9735 + ... + 17913.

It is an arithmetic number, because the mean of its divisors is an integer number (4184070).

Almost surely, 2113066496 is an apocalyptic number.

113066496 is a gapful number since it is divisible by the number (16) 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 113066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167362800).

113066496 is an abundant number, since it is smaller than the sum of its proper divisors (221659104).

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

113066496 is an frugal number, since it uses more digits than its factorization.

113066496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206 (or 8184 counting only the distinct ones).

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

The square root of 113066496 is about 10633.2730614802. The cubic root of 113066496 is about 483.5536262018.

The spelling of 113066496 in words is "one hundred thirteen million, sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 8179 13824 16358 24537 32716 49074 65432 73611 98148 130864 147222 196296 220833 261728 294444 392592 441666 523456 588888 785184 883332 1046912 1177776 1570368 1766664 2093824 2355552 3140736 3533328 4187648 4711104 6281472 7066656 9422208 12562944 14133312 18844416 28266624 37688832 56533248 113066496