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117408256 = 297174147
BaseRepresentation
bin1101111111110…
…00001000000000
322011220221211221
412333320020000
5220024031011
615352244424
72623645060
oct677701000
9264827757
10117408256
1160301619
12333a0714
131b42a354
14118433a0
15a492971
hex6ff8200

117408256 has 160 divisors (see below), whose sum is σ = 296980992. Its totient is φ = 45219840.

The previous prime is 117408251. The next prime is 117408271. The reversal of 117408256 is 652804711.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117408251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2498025 + ... + 2498071.

Almost surely, 2117408256 is an apocalyptic number.

117408256 is a gapful number since it is divisible by the number (16) 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 117408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

117408256 is an abundant number, since it is smaller than the sum of its proper divisors (179572736).

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

117408256 is an equidigital number, since it uses as much as digits as its factorization.

117408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 117408256 is about 10835.5090328051. The cubic root of 117408256 is about 489.6655443598.

The spelling of 117408256 in words is "one hundred seventeen million, four hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 47 56 64 68 82 94 112 119 128 136 164 188 224 238 256 272 287 328 329 376 448 476 512 544 574 656 658 697 752 799 896 952 1088 1148 1312 1316 1394 1504 1598 1792 1904 1927 2176 2296 2624 2632 2788 3008 3196 3584 3808 3854 4352 4592 4879 5248 5264 5576 5593 6016 6392 7616 7708 8704 9184 9758 10496 10528 11152 11186 12032 12784 13489 15232 15416 18368 19516 20992 21056 22304 22372 24064 25568 26978 30464 30832 32759 36736 39032 42112 44608 44744 51136 53956 60928 61664 65518 73472 78064 84224 89216 89488 102272 107912 123328 131036 146944 156128 168448 178432 178976 204544 215824 229313 246656 262072 312256 356864 357952 409088 431648 458626 493312 524144 624512 715904 863296 917252 986624 1048288 1249024 1431808 1726592 1834504 2096576 2498048 2863616 3453184 3669008 4193152 6906368 7338016 8386304 14676032 16772608 29352064 58704128 117408256