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117275136 = 293112631
BaseRepresentation
bin1101111110101…
…11101000000000
322011200012020120
412333113220000
5220010301021
615345340240
72622552006
oct677275000
9264605216
10117275136
1160220600
1233337680
131b3b1894
141180aa76
15a4682c6
hex6fd7a00

117275136 has 120 divisors (see below), whose sum is σ = 343957152. Its totient is φ = 35481600.

The previous prime is 117275131. The next prime is 117275161. The reversal of 117275136 is 631572711.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 117275097 and 117275106.

It is not an unprimeable number, because it can be changed into a prime (117275131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185541 + ... + 186171.

Almost surely, 2117275136 is an apocalyptic number.

117275136 is a gapful number since it is divisible by the number (16) 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 117275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171978576).

117275136 is an abundant number, since it is smaller than the sum of its proper divisors (226682016).

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

117275136 is an equidigital number, since it uses as much as digits as its factorization.

117275136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 647 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 117275136 is about 10829.3645242923. The cubic root of 117275136 is about 489.4804099386.

The spelling of 117275136 in words is "one hundred seventeen million, two hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 631 704 726 768 968 1056 1262 1408 1452 1536 1893 1936 2112 2524 2816 2904 3786 3872 4224 5048 5632 5808 6941 7572 7744 8448 10096 11616 13882 15144 15488 16896 20192 20823 23232 27764 30288 30976 40384 41646 46464 55528 60576 61952 76351 80768 83292 92928 111056 121152 152702 161536 166584 185856 222112 229053 242304 305404 323072 333168 444224 458106 484608 610808 666336 888448 916212 969216 1221616 1332672 1776896 1832424 2443232 2665344 3553792 3664848 4886464 5330688 7329696 9772928 10661376 14659392 19545856 29318784 39091712 58637568 117275136