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113370496 = 272397397
BaseRepresentation
bin1101100000111…
…10010110000000
321220022211002021
412300132112000
5213010323441
615125531224
72544430141
oct660362600
9256284067
10113370496
1158aa3a28
1231b73b14
131a645545
14110b1ac8
159e463d1
hex6c1e580

113370496 has 64 divisors (see below), whose sum is σ = 238704480. Its totient is φ = 53526528.

The previous prime is 113370463. The next prime is 113370529. The reversal of 113370496 is 694073311.

It is an interprime number because it is at equal distance from previous prime (113370463) and next prime (113370529).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 285370 + ... + 285766.

Almost surely, 2113370496 is an apocalyptic number.

113370496 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 113370496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119352240).

113370496 is an abundant number, since it is smaller than the sum of its proper divisors (125333984).

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

113370496 is an equidigital number, since it uses as much as digits as its factorization.

113370496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 113370496 is about 10647.5582177324. The cubic root of 113370496 is about 483.9866125660.

The spelling of 113370496 in words is "one hundred thirteen million, three hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 128 184 194 368 388 397 736 776 794 1472 1552 1588 2231 2944 3104 3176 4462 6208 6352 8924 9131 12416 12704 17848 18262 25408 35696 36524 38509 50816 71392 73048 77018 142784 146096 154036 285568 292192 308072 584384 616144 885707 1168768 1232288 1771414 2464576 3542828 4929152 7085656 14171312 28342624 56685248 113370496