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113780992 = 2813179191
BaseRepresentation
bin1101100100000…
…10100100000000
321221002200011211
412302002210000
5213111442432
615142415504
72551060003
oct662024400
9257080154
10113780992
1159254386
1232131594
131a75a340
141117b53a
159ec7d47
hex6c82900

113780992 has 72 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 51947520.

The previous prime is 113780917. The next prime is 113781001. The reversal of 113780992 is 299087311.

It is a super-2 number, since 2×1137809922 = 25892228281008128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595617 + ... + 595807.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2113780992 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 113780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

113780992 is an abundant number, since it is smaller than the sum of its proper divisors (133461248).

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

113780992 is a wasteful number, since it uses less digits than its factorization.

113780992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 113780992 is about 10666.8173322693. The cubic root of 113780992 is about 484.5700543706.

The spelling of 113780992 in words is "one hundred thirteen million, seven hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 179 191 208 256 358 382 416 716 764 832 1432 1528 1664 2327 2483 2864 3056 3328 4654 4966 5728 6112 9308 9932 11456 12224 18616 19864 22912 24448 34189 37232 39728 45824 48896 68378 74464 79456 136756 148928 158912 273512 297856 317824 444457 547024 595712 635648 888914 1094048 1777828 2188096 3555656 4376192 7111312 8752384 14222624 28445248 56890496 113780992