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114400572 = 2231113163409
BaseRepresentation
bin1101101000110…
…01110100111100
321222021011002020
412310121310330
5213241304242
615204000140
72556250236
oct664316474
9258234066
10114400572
1159637930
1232390050
131a916360
141129d256
15a09b6ec
hex6d19d3c

114400572 has 96 divisors (see below), whose sum is σ = 316296960. Its totient is φ = 31726080.

The previous prime is 114400547. The next prime is 114400607. The reversal of 114400572 is 275004411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279504 + ... + 279912.

It is an arithmetic number, because the mean of its divisors is an integer number (3294760).

Almost surely, 2114400572 is an apocalyptic number.

114400572 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 114400572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158148480).

114400572 is an abundant number, since it is smaller than the sum of its proper divisors (201896388).

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

114400572 is a wasteful number, since it uses less digits than its factorization.

114400572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 114400572 is about 10695.8203051472. The cubic root of 114400572 is about 485.4480176607.

Adding to 114400572 its reverse (275004411), we get a palindrome (389404983).

The spelling of 114400572 in words is "one hundred fourteen million, four hundred thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 163 286 326 409 429 489 572 652 818 858 978 1227 1636 1716 1793 1956 2119 2454 3586 4238 4499 4908 5317 5379 6357 7172 8476 8998 10634 10758 12714 13497 15951 17996 21268 21516 23309 25428 26994 31902 46618 53988 58487 63804 66667 69927 93236 116974 133334 139854 175461 200001 233948 266668 279708 350922 400002 701844 733337 800004 866671 1466674 1733342 2200011 2600013 2933348 3466684 4400022 5200026 8800044 9533381 10400052 19066762 28600143 38133524 57200286 114400572