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119310816 = 2533147853
BaseRepresentation
bin1110001110010…
…00100111100000
322022111121200010
413013020213200
5221020421231
615501124520
72646060642
oct707104740
9268447603
10119310816
1161390a89
1233b59740
131b945321
1411bba892
15a71b546
hex71c89e0

119310816 has 96 divisors (see below), whose sum is σ = 330559488. Its totient is φ = 37624320.

The previous prime is 119310809. The next prime is 119310833. The reversal of 119310816 is 618013911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139446 + ... + 140298.

It is an arithmetic number, because the mean of its divisors is an integer number (3443328).

Almost surely, 2119310816 is an apocalyptic number.

119310816 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 119310816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165279744).

119310816 is an abundant number, since it is smaller than the sum of its proper divisors (211248672).

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

119310816 is a wasteful number, since it uses less digits than its factorization.

119310816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 119310816 is about 10922.9490523393. The cubic root of 119310816 is about 492.2963380995.

The spelling of 119310816 in words is "one hundred nineteen million, three hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 372 376 496 564 744 752 853 992 1128 1457 1488 1504 1706 2256 2559 2914 2976 3412 4371 4512 5118 5828 6824 8742 10236 11656 13648 17484 20472 23312 26443 27296 34968 40091 40944 46624 52886 69936 79329 80182 81888 105772 120273 139872 158658 160364 211544 240546 317316 320728 423088 481092 634632 641456 846176 962184 1242821 1269264 1282912 1924368 2485642 2538528 3728463 3848736 4971284 7456926 9942568 14913852 19885136 29827704 39770272 59655408 119310816