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117545472 = 293311773
BaseRepresentation
bin1110000000110…
…01101000000000
322012011221002000
413000121220000
5220042423342
615355224000
72625056112
oct700315000
9265157060
10117545472
1160395720
1233448000
131b477945
141187b3b2
15a4bd44c
hex7019a00

117545472 has 160 divisors (see below), whose sum is σ = 380064960. Its totient is φ = 35573760.

The previous prime is 117545413. The next prime is 117545501. The reversal of 117545472 is 274545711.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151678 + ... + 152450.

It is an arithmetic number, because the mean of its divisors is an integer number (2375406).

Almost surely, 2117545472 is an apocalyptic number.

117545472 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 117545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190032480).

117545472 is an abundant number, since it is smaller than the sum of its proper divisors (262519488).

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

117545472 is an equidigital number, since it uses as much as digits as its factorization.

117545472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 789 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 117545472 is about 10841.8389584055. The cubic root of 117545472 is about 489.8562288183.

The spelling of 117545472 in words is "one hundred seventeen million, five hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 773 792 864 1056 1152 1188 1408 1536 1546 1584 1728 2112 2304 2319 2376 2816 3092 3168 3456 4224 4608 4638 4752 5632 6184 6336 6912 6957 8448 8503 9276 9504 12368 12672 13824 13914 16896 17006 18552 19008 20871 24736 25344 25509 27828 34012 37104 38016 41742 49472 50688 51018 55656 68024 74208 76032 76527 83484 98944 102036 111312 136048 148416 152064 153054 166968 197888 204072 222624 229581 272096 296832 306108 333936 395776 408144 445248 459162 544192 593664 612216 667872 816288 890496 918324 1088384 1187328 1224432 1335744 1632576 1780992 1836648 2176768 2448864 2671488 3265152 3561984 3673296 4353536 4897728 5342976 6530304 7346592 9795456 10685952 13060608 14693184 19590912 29386368 39181824 58772736 117545472