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119314368 = 2632359577
BaseRepresentation
bin1110001110010…
…01011111000000
322022111210112200
413013021133000
5221021024433
615501153200
72646104205
oct707113700
9268453480
10119314368
1161393718
1233b5b800
131b946b24
1411bbbcac
15a71c613
hex71c97c0

119314368 has 84 divisors (see below), whose sum is σ = 343540080. Its totient is φ = 39591936.

The previous prime is 119314333. The next prime is 119314417. The reversal of 119314368 is 863413911.

It is a super-2 number, since 2×1193143682 = 28471836822478848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 206496 + ... + 207072.

Almost surely, 2119314368 is an apocalyptic number.

119314368 is a gapful number since it is divisible by the number (18) 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 119314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171770040).

119314368 is an abundant number, since it is smaller than the sum of its proper divisors (224225712).

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

119314368 is a wasteful number, since it uses less digits than its factorization.

119314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 941 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 119314368 is about 10923.1116445819. Note that the first 3 decimals coincide. The cubic root of 119314368 is about 492.3012234326.

The spelling of 119314368 in words is "one hundred nineteen million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 359 576 577 718 1077 1154 1436 1731 2154 2308 2872 3231 3462 4308 4616 5193 5744 6462 6924 8616 9232 10386 11488 12924 13848 17232 18464 20772 22976 25848 27696 34464 36928 41544 51696 55392 68928 83088 103392 110784 166176 206784 207143 332352 414286 621429 828572 1242858 1657144 1864287 2485716 3314288 3728574 4971432 6628576 7457148 9942864 13257152 14914296 19885728 29828592 39771456 59657184 119314368