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114868752 = 2434759863
BaseRepresentation
bin1101101100011…
…00001000010000
322000010221022020
412312030020100
5213401300002
615222011440
72563240215
oct666141020
9260127266
10114868752
1159927659
1232576b80
131aa4b49b
1411381b0c
15a1402bc
hex6d8c210

114868752 has 80 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 36797056.

The previous prime is 114868751. The next prime is 114868759. The reversal of 114868752 is 257868411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114868751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132673 + ... + 133535.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 2114868752 is an apocalyptic number.

114868752 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 114868752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

114868752 is an abundant number, since it is smaller than the sum of its proper divisors (193682928).

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

114868752 is a wasteful number, since it uses less digits than its factorization.

114868752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 114868752 is about 10717.6840781953. The cubic root of 114868752 is about 486.1093421950.

The spelling of 114868752 in words is "one hundred fourteen million, eight hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 59 94 118 141 177 188 236 282 354 376 472 564 708 752 863 944 1128 1416 1726 2256 2589 2773 2832 3452 5178 5546 6904 8319 10356 11092 13808 16638 20712 22184 33276 40561 41424 44368 50917 66552 81122 101834 121683 133104 152751 162244 203668 243366 305502 324488 407336 486732 611004 648976 814672 973464 1222008 1946928 2393099 2444016 4786198 7179297 9572396 14358594 19144792 28717188 38289584 57434376 114868752