Search a number
-
+
114676704 = 25321921103
BaseRepresentation
bin1101101010111…
…01001111100000
321222210011212100
412311131033200
5213324123304
615213530400
72561510262
oct665351740
9258704770
10114676704
115980633a
12324a3a00
131a9b1c4c
1411331b32
15a103439
hex6d5d3e0

114676704 has 108 divisors (see below), whose sum is σ = 344491056. Its totient is φ = 36180864.

The previous prime is 114676703. The next prime is 114676721. The reversal of 114676704 is 407676411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114676703) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103417 + ... + 104519.

It is an arithmetic number, because the mean of its divisors is an integer number (3189732).

Almost surely, 2114676704 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 114676704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172245528).

114676704 is an abundant number, since it is smaller than the sum of its proper divisors (229814352).

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

114676704 is a wasteful number, since it uses less digits than its factorization.

114676704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 114676704 is about 10708.7209320254. The cubic root of 114676704 is about 485.8382838468.

The spelling of 114676704 in words is "one hundred fourteen million, six hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 1083 1103 1368 1444 1824 2166 2206 2736 2888 3249 3309 4332 4412 5472 5776 6498 6618 8664 8824 9927 11552 12996 13236 17328 17648 19854 20957 25992 26472 34656 35296 39708 41914 51984 52944 62871 79416 83828 103968 105888 125742 158832 167656 188613 251484 317664 335312 377226 398183 502968 670624 754452 796366 1005936 1194549 1508904 1592732 2011872 2389098 3017808 3185464 3583647 4778196 6035616 6370928 7167294 9556392 12741856 14334588 19112784 28669176 38225568 57338352 114676704