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119353872 = 243111713297
BaseRepresentation
bin1110001110100…
…11001000010000
322022120210201210
413013103020100
5221023310442
615502100120
72646330321
oct707231020
9268523653
10119353872
1161410370
1233b7a640
131b95bac1
1411bcc448
15a72919c
hex71d3210

119353872 has 80 divisors (see below), whose sum is σ = 356173632. Its totient is φ = 34037760.

The previous prime is 119353859. The next prime is 119353891. The reversal of 119353872 is 278353911.

It is a super-2 number, since 2×1193538722 = 28490693522784768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 119353872.

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 15 ways as a sum of consecutive naturals, for example, 2328 + ... + 15624.

Almost surely, 2119353872 is an apocalyptic number.

119353872 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 119353872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178086816).

119353872 is an abundant number, since it is smaller than the sum of its proper divisors (236819760).

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

119353872 is a wasteful number, since it uses less digits than its factorization.

119353872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336 (or 13330 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 119353872 is about 10924.9197708725. The cubic root of 119353872 is about 492.3555497246.

Adding to 119353872 its sum of digits (39), we get a palindrome (119353911).

The spelling of 119353872 in words is "one hundred nineteen million, three hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 13297 26594 39891 53188 79782 106376 146267 159564 212752 226049 292534 319128 438801 452098 585068 638256 678147 877602 904196 1170136 1356294 1755204 1808392 2340272 2486539 2712588 3510408 3616784 4973078 5425176 7020816 7459617 9946156 10850352 14919234 19892312 29838468 39784624 59676936 119353872