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119472 = 24319131
BaseRepresentation
bin11101001010110000
320001212220
4131022300
512310342
62321040
71005213
oct351260
9201786
10119472
1181841
1259180
13424c2
143177a
15255ec
hex1d2b0

119472 has 40 divisors (see below), whose sum is σ = 327360. Its totient is φ = 37440.

The previous prime is 119447. The next prime is 119489. The reversal of 119472 is 274911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

119472 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, 847 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2119472 is an apocalyptic number.

119472 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 119472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680).

119472 is an abundant number, since it is smaller than the sum of its proper divisors (207888).

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

119472 is a wasteful number, since it uses less digits than its factorization.

119472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 119472 is about 345.6472189965. The cubic root of 119472 is about 49.2517929037.

The spelling of 119472 in words is "one hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 131 152 228 262 304 393 456 524 786 912 1048 1572 2096 2489 3144 4978 6288 7467 9956 14934 19912 29868 39824 59736 119472