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117275072 = 2629179353
BaseRepresentation
bin1101111110101…
…11100111000000
322011200012011012
412333113213000
5220010300242
615345340052
72622551555
oct677274700
9264605135
10117275072
1160220552
1233337628
131b3b1845
141180aa2c
15a468282
hex6fd79c0

117275072 has 56 divisors (see below), whose sum is σ = 242773200. Its totient is φ = 56139776.

The previous prime is 117275063. The next prime is 117275083. The reversal of 117275072 is 270572711.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332048 + ... + 332400.

Almost surely, 2117275072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121386600).

117275072 is an abundant number, since it is smaller than the sum of its proper divisors (125498128).

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

117275072 is a wasteful number, since it uses less digits than its factorization.

117275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 117275072 is about 10829.3615693632. The cubic root of 117275072 is about 489.4803208979.

The spelling of 117275072 in words is "one hundred seventeen million, two hundred seventy-five thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 179 232 353 358 464 706 716 928 1412 1432 1856 2824 2864 5191 5648 5728 10237 10382 11296 11456 20474 20764 22592 40948 41528 63187 81896 83056 126374 163792 166112 252748 327584 332224 505496 655168 1010992 1832423 2021984 3664846 4043968 7329692 14659384 29318768 58637536 117275072