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114654420 = 22335673169
BaseRepresentation
bin1101101010101…
…11110011010100
321222202001022000
412311113303110
5213322420140
615213235300
72561355306
oct665276324
9258661260
10114654420
11597a0621
1232492b30
131a9a4a6a
1411327976
15a0eba30
hex6d57cd4

114654420 has 96 divisors (see below), whose sum is σ = 362140800. Its totient is φ = 30108672.

The previous prime is 114654403. The next prime is 114654427. The reversal of 114654420 is 24456411.

114654420 is a `hidden beast` number, since 1 + 1 + 4 + 654 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114654427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34596 + ... + 37764.

It is an arithmetic number, because the mean of its divisors is an integer number (3772300).

Almost surely, 2114654420 is an apocalyptic number.

114654420 is a gapful number since it is divisible by the number (10) 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 114654420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181070400).

114654420 is an abundant number, since it is smaller than the sum of its proper divisors (247486380).

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

114654420 is a wasteful number, since it uses less digits than its factorization.

114654420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 114654420 is about 10707.6804210809. The cubic root of 114654420 is about 485.8068124108.

The spelling of 114654420 in words is "one hundred fourteen million, six hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3169 3618 4020 6030 6338 7236 9045 9507 12060 12676 15845 18090 19014 28521 31690 36180 38028 47535 57042 63380 85563 95070 114084 142605 171126 190140 212323 285210 342252 424646 427815 570420 636969 849292 855630 1061615 1273938 1711260 1910907 2123230 2547876 3184845 3821814 4246460 5732721 6369690 7643628 9554535 11465442 12739380 19109070 22930884 28663605 38218140 57327210 114654420