Search a number
-
+
117817024 = 26131929257
BaseRepresentation
bin1110000010110…
…11111011000000
322012200201120111
413001123323000
5220130121044
615405121104
72630266603
oct701337300
9265621514
10117817024
1160560746
1233559194
131b541420
141190c33a
15a523b34
hex705bec0

117817024 has 112 divisors (see below), whose sum is σ = 275234400. Its totient is φ = 49545216.

The previous prime is 117817003. The next prime is 117817027. The reversal of 117817024 is 420718711.

It is a super-2 number, since 2×1178170242 = 27761702288433152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117817027) 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 15 ways as a sum of consecutive naturals, for example, 458304 + ... + 458560.

It is an arithmetic number, because the mean of its divisors is an integer number (2457450).

Almost surely, 2117817024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117817024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137617200).

117817024 is an abundant number, since it is smaller than the sum of its proper divisors (157417376).

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

117817024 is a wasteful number, since it uses less digits than its factorization.

117817024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 31.

The square root of 117817024 is about 10854.3550706617. The cubic root of 117817024 is about 490.2331585088.

The spelling of 117817024 in words is "one hundred seventeen million, eight hundred seventeen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 19 26 29 32 38 52 58 64 76 104 116 152 208 232 247 257 304 377 416 464 494 514 551 608 754 832 928 988 1028 1102 1216 1508 1856 1976 2056 2204 3016 3341 3952 4112 4408 4883 6032 6682 7163 7453 7904 8224 8816 9766 12064 13364 14326 14906 15808 16448 17632 19532 24128 26728 28652 29812 35264 39064 53456 57304 59624 63479 78128 96889 106912 114608 119248 126958 141607 156256 193778 213824 229216 238496 253916 283214 312512 387556 458432 476992 507832 566428 775112 1015664 1132856 1550224 1840891 2031328 2265712 3100448 3681782 4062656 4531424 6200896 7363564 9062848 14727128 29454256 58908512 117817024