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114460452 = 2234541653
BaseRepresentation
bin1101101001010…
…00011100100100
321222101012020000
412310220130210
5213300213302
615205141300
72556616641
oct664503444
9258335200
10114460452
1159678917
12323ba830
131a9376a2
14112b6dc8
15a0ae31c
hex6d28724

114460452 has 60 divisors (see below), whose sum is σ = 300234396. Its totient is φ = 38024640.

The previous prime is 114460441. The next prime is 114460471. The reversal of 114460452 is 254064411.

114460452 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 604 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 78747876 = 5976^2 + 8874^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174958 + ... + 175610.

Almost surely, 2114460452 is an apocalyptic number.

114460452 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 114460452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150117198).

114460452 is an abundant number, since it is smaller than the sum of its proper divisors (185773944).

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

114460452 is a wasteful number, since it uses less digits than its factorization.

114460452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

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

The square root of 114460452 is about 10698.6191632378. The cubic root of 114460452 is about 485.5327012613.

The spelling of 114460452 in words is "one hundred fourteen million, four hundred sixty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 541 653 1082 1306 1623 1959 2164 2612 3246 3918 4869 5877 6492 7836 9738 11754 14607 17631 19476 23508 29214 35262 43821 52893 58428 70524 87642 105786 175284 211572 353273 706546 1059819 1413092 2119638 3179457 4239276 6358914 9538371 12717828 19076742 28615113 38153484 57230226 114460452