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113770496 = 219731
BaseRepresentation
bin1101100100000…
…00000000000000
321221002010210002
412302000000000
5213111123441
615142255132
72551014260
oct662000000
9257063702
10113770496
1159247504
12321274a8
131a755628
14111777a0
159ec4b9b
hex6c80000

113770496 has 80 divisors (see below), whose sum is σ = 268435200. Its totient is φ = 47185920.

The previous prime is 113770457. The next prime is 113770513. The reversal of 113770496 is 694077311.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3670001 + ... + 3670031.

It is an arithmetic number, because the mean of its divisors is an integer number (3355440).

Almost surely, 2113770496 is an apocalyptic number.

113770496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113770496 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113770496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217600).

113770496 is an abundant number, since it is smaller than the sum of its proper divisors (154664704).

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

113770496 is an frugal number, since it uses more digits than its factorization.

113770496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 113770496 is about 10666.3253278718. The cubic root of 113770496 is about 484.5551538042. Note that the first 3 decimals are identical.

The spelling of 113770496 in words is "one hundred thirteen million, seven hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3472 3584 3968 4096 6944 7168 7936 8192 13888 14336 15872 16384 27776 28672 31744 32768 55552 57344 63488 65536 111104 114688 126976 131072 222208 229376 253952 262144 444416 458752 507904 524288 888832 917504 1015808 1777664 1835008 2031616 3555328 3670016 4063232 7110656 8126464 14221312 16252928 28442624 56885248 113770496