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119712 = 2532943
BaseRepresentation
bin11101001110100000
320002012210
4131032200
512312322
62322120
71006005
oct351640
9202183
10119712
1181a3a
1259340
1342648
14318ac
152570c
hex1d3a0

119712 has 48 divisors (see below), whose sum is σ = 332640. Its totient is φ = 37632.

The previous prime is 119701. The next prime is 119723. The reversal of 119712 is 217911.

It is an interprime number because it is at equal distance from previous prime (119701) and next prime (119723).

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 119712.

It is an unprimeable number.

119712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2763 + ... + 2805.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2119712 is an apocalyptic number.

119712 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 119712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

119712 is an abundant number, since it is smaller than the sum of its proper divisors (212928).

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

119712 is a wasteful number, since it uses less digits than its factorization.

119712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its digits is 126, while the sum is 21.

The square root of 119712 is about 345.9942196049. The cubic root of 119712 is about 49.2847504837.

The spelling of 119712 in words is "one hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 86 87 96 116 129 172 174 232 258 344 348 464 516 688 696 928 1032 1247 1376 1392 2064 2494 2784 3741 4128 4988 7482 9976 14964 19952 29928 39904 59856 119712