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119434816 = 2631371627
BaseRepresentation
bin1110001111001…
…10111001000000
322022201220202201
413013212321000
5221033403231
615503522544
72650115314
oct707467100
9268656681
10119434816
1161466166
1233bb9454
131b9898b7
1411c0db44
15a743161
hex71e6e40

119434816 has 56 divisors (see below), whose sum is σ = 251415296. Its totient is φ = 56194560.

The previous prime is 119434747. The next prime is 119434829. The reversal of 119434816 is 618434911.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72595 + ... + 74221.

Almost surely, 2119434816 is an apocalyptic number.

119434816 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 119434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125707648).

119434816 is an abundant number, since it is smaller than the sum of its proper divisors (131980480).

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

119434816 is a wasteful number, since it uses less digits than its factorization.

119434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1697 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 119434816 is about 10928.6237010888. The cubic root of 119434816 is about 492.4668272812.

The spelling of 119434816 in words is "one hundred nineteen million, four hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 148 248 296 496 592 992 1147 1184 1627 1984 2294 2368 3254 4588 6508 9176 13016 18352 26032 36704 50437 52064 60199 73408 100874 104128 120398 201748 240796 403496 481592 806992 963184 1613984 1866169 1926368 3227968 3732338 3852736 7464676 14929352 29858704 59717408 119434816