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119419872 = 25311138699
BaseRepresentation
bin1110001111000…
…11001111100000
322022201011021020
413013203033200
5221032413442
615503325440
72650023615
oct707431740
9268634236
10119419872
1161455a10
1233bb0880
131b982b60
1411c0850c
15a73d9ec
hex71e33e0

119419872 has 96 divisors (see below), whose sum is σ = 368323200. Its totient is φ = 33400320.

The previous prime is 119419871. The next prime is 119419873. The reversal of 119419872 is 278914911.

It is an interprime number because it is at equal distance from previous prime (119419871) and next prime (119419873).

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

It is a super-2 number, since 2×1194198722 = 28522211656992768, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119419871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9379 + ... + 18077.

It is an arithmetic number, because the mean of its divisors is an integer number (3836700).

Almost surely, 2119419872 is an apocalyptic number.

119419872 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 119419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184161600).

119419872 is an abundant number, since it is smaller than the sum of its proper divisors (248903328).

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

119419872 is a wasteful number, since it uses less digits than its factorization.

119419872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8736 (or 8728 counting only the distinct ones).

The product of its digits is 36288, while the sum is 42.

The square root of 119419872 is about 10927.9399705525. The cubic root of 119419872 is about 492.4462868406.

The spelling of 119419872 in words is "one hundred nineteen million, four hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 8699 13728 17398 26097 34796 52194 69592 95689 104388 113087 139184 191378 208776 226174 278368 287067 339261 382756 417552 452348 574134 678522 765512 835104 904696 1148268 1243957 1357044 1531024 1809392 2296536 2487914 2714088 3062048 3618784 3731871 4593072 4975828 5428176 7463742 9186144 9951656 10856352 14927484 19903312 29854968 39806624 59709936 119419872