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115378992 = 2434127701
BaseRepresentation
bin1101110000010…
…00101100110000
322001002212020000
412320020230300
5214014111432
615240550000
72600463621
oct670105460
9261085200
10115378992
115a145a43
1232782300
131ab997c1
1411475a48
15a1e157c
hex6e08b30

115378992 has 100 divisors (see below), whose sum is σ = 337049856. Its totient is φ = 38102400.

The previous prime is 115378979. The next prime is 115379009. The reversal of 115378992 is 299873511.

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 19 ways as a sum of consecutive naturals, for example, 164242 + ... + 164942.

Almost surely, 2115378992 is an apocalyptic number.

115378992 is a gapful number since it is divisible by the number (12) 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 115378992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168524928).

115378992 is an abundant number, since it is smaller than the sum of its proper divisors (221670864).

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

115378992 is a wasteful number, since it uses less digits than its factorization.

115378992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 833 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 115378992 is about 10741.4613530934. The cubic root of 115378992 is about 486.8280351430.

The spelling of 115378992 in words is "one hundred fifteen million, three hundred seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 254 324 381 432 508 648 701 762 1016 1143 1296 1402 1524 2032 2103 2286 2804 3048 3429 4206 4572 5608 6096 6309 6858 8412 9144 10287 11216 12618 13716 16824 18288 18927 20574 25236 27432 33648 37854 41148 50472 54864 56781 75708 82296 89027 100944 113562 151416 164592 178054 227124 267081 302832 356108 454248 534162 712216 801243 908496 1068324 1424432 1602486 2136648 2403729 3204972 4273296 4807458 6409944 7211187 9614916 12819888 14422374 19229832 28844748 38459664 57689496 115378992