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114696972 = 22351329313
BaseRepresentation
bin1101101011000…
…10001100001100
321222211012200000
412311202030030
5213330300342
615214204300
72561623335
oct665421414
9258735600
10114696972
115981a595
12324b3690
131a9bb240
141133928c
15a10944c
hex6d6230c

114696972 has 144 divisors (see below), whose sum is σ = 336030240. Its totient is φ = 33965568.

The previous prime is 114696947. The next prime is 114696983. The reversal of 114696972 is 279696411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366288 + ... + 366600.

Almost surely, 2114696972 is an apocalyptic number.

114696972 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 114696972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168015120).

114696972 is an abundant number, since it is smaller than the sum of its proper divisors (221333268).

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

114696972 is a wasteful number, since it uses less digits than its factorization.

114696972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 114696972 is about 10709.6672217208. The cubic root of 114696972 is about 485.8669045690.

It can be divided in two parts, 1146969 and 72, that added together give a square (1147041 = 10712).

The spelling of 114696972 in words is "one hundred fourteen million, six hundred ninety-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 243 261 313 324 348 351 377 468 486 522 626 702 754 783 939 972 1044 1053 1131 1252 1404 1508 1566 1878 2106 2262 2349 2817 3132 3159 3393 3756 4069 4212 4524 4698 5634 6318 6786 7047 8138 8451 9077 9396 10179 11268 12207 12636 13572 14094 16276 16902 18154 20358 24414 25353 27231 28188 30537 33804 36308 36621 40716 48828 50706 54462 61074 73242 76059 81693 91611 101412 108924 109863 118001 122148 146484 152118 163386 183222 219726 236002 245079 304236 326772 329589 354003 366444 439452 472004 490158 659178 708006 735237 980316 988767 1062009 1318356 1416012 1470474 1977534 2124018 2205711 2940948 3186027 3955068 4248036 4411422 6372054 8822844 9558081 12744108 19116162 28674243 38232324 57348486 114696972