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117770112 = 273437307
BaseRepresentation
bin1110000010100…
…00011110000000
322012121100020000
413001100132000
5220122120422
615404120000
72630013045
oct701203600
9265540200
10117770112
1160529479
1233536000
131b525c75
14118d91cc
15a514cac
hex7050780

117770112 has 160 divisors (see below), whose sum is σ = 361126920. Its totient is φ = 38071296.

The previous prime is 117770089. The next prime is 117770123. The reversal of 117770112 is 211077711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 383463 + ... + 383769.

Almost surely, 2117770112 is an apocalyptic number.

117770112 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 117770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180563460).

117770112 is an abundant number, since it is smaller than the sum of its proper divisors (243356808).

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

117770112 is an equidigital number, since it uses as much as digits as its factorization.

117770112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 27.

The square root of 117770112 is about 10852.1938795803. The cubic root of 117770112 is about 490.1680833886.

It can be divided in two parts, 1177 and 70112, that added together give a square (71289 = 2672).

The spelling of 117770112 in words is "one hundred seventeen million, seven hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 288 296 307 324 333 384 432 444 576 592 614 648 666 864 888 921 999 1152 1184 1228 1296 1332 1728 1776 1842 1998 2368 2456 2592 2664 2763 2997 3456 3552 3684 3996 4736 4912 5184 5328 5526 5994 7104 7368 7992 8289 9824 10368 10656 11052 11359 11988 14208 14736 15984 16578 19648 21312 22104 22718 23976 24867 29472 31968 33156 34077 39296 42624 44208 45436 47952 49734 58944 63936 66312 68154 88416 90872 95904 99468 102231 117888 127872 132624 136308 176832 181744 191808 198936 204462 265248 272616 306693 353664 363488 383616 397872 408924 530496 545232 613386 726976 795744 817848 920079 1060992 1090464 1226772 1453952 1591488 1635696 1840158 2180928 2453544 3182976 3271392 3680316 4361856 4907088 6542784 7360632 9814176 13085568 14721264 19628352 29442528 39256704 58885056 117770112