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117440352 = 253217383
BaseRepresentation
bin1101111111111…
…11111101100000
322011222120212200
412333333331200
5220031042402
615353053200
72624140461
oct677777540
9264876780
10117440352
1160323747
12333b7200
131b43bb43
1411850d68
15a49c21c
hex6ffff60

117440352 has 144 divisors (see below), whose sum is σ = 359115120. Its totient is φ = 36400128.

The previous prime is 117440339. The next prime is 117440371. The reversal of 117440352 is 253044711.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414903 + ... + 1414985.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 2117440352 is an apocalyptic number.

117440352 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 117440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179557560).

117440352 is an abundant number, since it is smaller than the sum of its proper divisors (241674768).

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

117440352 is an equidigital number, since it uses as much as digits as its factorization.

117440352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 117440352 is about 10836.9899879994. The cubic root of 117440352 is about 489.7101603971.

The spelling of 117440352 in words is "one hundred seventeen million, four hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 83 96 102 136 144 153 166 204 249 272 288 289 306 332 408 498 544 578 612 664 747 816 867 996 1156 1224 1328 1411 1494 1632 1734 1992 2312 2448 2601 2656 2822 2988 3468 3984 4233 4624 4896 4913 5202 5644 5976 6936 7968 8466 9248 9826 10404 11288 11952 12699 13872 14739 16932 19652 20808 22576 23904 23987 25398 27744 29478 33864 39304 41616 44217 45152 47974 50796 58956 67728 71961 78608 83232 88434 95948 101592 117912 135456 143922 157216 176868 191896 203184 215883 235824 287844 353736 383792 406368 407779 431766 471648 575688 707472 767584 815558 863532 1151376 1223337 1414944 1631116 1727064 2302752 2446674 3262232 3454128 3670011 4893348 6524464 6908256 7340022 9786696 13048928 14680044 19573392 29360088 39146784 58720176 117440352