Search a number
-
+
117121472 = 26131931239
BaseRepresentation
bin1101111101100…
…10000111000000
322011101101110022
412332302013000
5214440341342
615342153012
72621342006
oct676620700
9264341408
10117121472
1160126106
1233282768
131b359960
14117aaa76
15a4379d2
hex6fb21c0

117121472 has 112 divisors (see below), whose sum is σ = 273100800. Its totient is φ = 49351680.

The previous prime is 117121469. The next prime is 117121493. The reversal of 117121472 is 274121711.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 489929 + ... + 490167.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 2117121472 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 117121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550400).

117121472 is an abundant number, since it is smaller than the sum of its proper divisors (155979328).

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

117121472 is a wasteful number, since it uses less digits than its factorization.

117121472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 784, while the sum is 26.

The square root of 117121472 is about 10822.2674149182. The cubic root of 117121472 is about 489.2665300106.

The spelling of 117121472 in words is "one hundred seventeen million, one hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 152 208 239 247 248 304 403 416 478 494 496 589 608 806 832 956 988 992 1178 1216 1612 1912 1976 1984 2356 3107 3224 3824 3952 4541 4712 6214 6448 7409 7648 7657 7904 9082 9424 12428 12896 14818 15296 15314 15808 18164 18848 24856 25792 29636 30628 36328 37696 49712 59033 59272 61256 72656 96317 99424 118066 118544 122512 140771 145312 192634 198848 236132 237088 245024 281542 290624 385268 472264 474176 490048 563084 770536 944528 1126168 1541072 1830023 1889056 2252336 3082144 3660046 3778112 4504672 6164288 7320092 9009344 14640184 29280368 58560736 117121472