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117317772 = 2232111321753
BaseRepresentation
bin1101111111000…
…10000010001100
322011202100201200
412333202002030
5220013132042
615350305500
72623120215
oct677420214
9264670650
10117317772
116024a640
1233358290
131b3c8100
141181c40c
15a475c4c
hex6fe208c

117317772 has 108 divisors (see below), whose sum is σ = 350512344. Its totient is φ = 32797440.

The previous prime is 117317771. The next prime is 117317801. The reversal of 117317772 is 277713711.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117317771) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 66048 + ... + 67800.

Almost surely, 2117317772 is an apocalyptic number.

117317772 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 117317772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175256172).

117317772 is an abundant number, since it is smaller than the sum of its proper divisors (233194572).

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

117317772 is a wasteful number, since it uses less digits than its factorization.

117317772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1782 counting only the distinct ones).

The product of its digits is 14406, while the sum is 36.

The square root of 117317772 is about 10831.3328819679. The cubic root of 117317772 is about 489.5397204878.

It can be divided in two parts, 11731 and 7772, that added together give a triangular number (19503 = T197).

The spelling of 117317772 in words is "one hundred seventeen million, three hundred seventeen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 169 198 234 286 338 396 429 468 507 572 676 858 1014 1287 1521 1716 1753 1859 2028 2574 3042 3506 3718 5148 5259 5577 6084 7012 7436 10518 11154 15777 16731 19283 21036 22308 22789 31554 33462 38566 45578 57849 63108 66924 68367 77132 91156 115698 136734 173547 205101 231396 250679 273468 296257 347094 410202 501358 592514 694188 752037 820404 888771 1002716 1185028 1504074 1777542 2256111 2666313 3008148 3258827 3555084 4512222 5332626 6517654 9024444 9776481 10665252 13035308 19552962 29329443 39105924 58658886 117317772