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119095272 = 23382269
BaseRepresentation
bin1110001100100…
…11111111101000
322022002200000000
413012103333220
5220442022042
615452343000
72644202352
oct706237750
9268080000
10119095272
116125404a
1233a74a60
131b89b19a
1411b620d2
15a6c774c
hex7193fe8

119095272 has 72 divisors (see below), whose sum is σ = 335086050. Its totient is φ = 39680928.

The previous prime is 119095237. The next prime is 119095279. The reversal of 119095272 is 272590911.

It can be written as a sum of positive squares in only one way, i.e., 117809316 + 1285956 = 10854^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (119095279) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51354 + ... + 53622.

Almost surely, 2119095272 is an apocalyptic number.

119095272 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 119095272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167543025).

119095272 is an abundant number, since it is smaller than the sum of its proper divisors (215990778).

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

119095272 is an frugal number, since it uses more digits than its factorization.

119095272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 119095272 is about 10913.0780259283. The cubic root of 119095272 is about 491.9997025578. Note that the first 3 decimals are identical.

The spelling of 119095272 in words is "one hundred nineteen million, ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2269 2916 4374 4538 5832 6561 6807 8748 9076 13122 13614 17496 18152 20421 26244 27228 40842 52488 54456 61263 81684 122526 163368 183789 245052 367578 490104 551367 735156 1102734 1470312 1654101 2205468 3308202 4410936 4962303 6616404 9924606 13232808 14886909 19849212 29773818 39698424 59547636 119095272