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114352700 = 225271114851
BaseRepresentation
bin1101101000011…
…10001000111100
321222011201102012
412310032020330
5213233241300
615202550352
72555660540
oct664161074
9258151365
10114352700
1159604970
12323683b8
131a8ca627
1411289a20
15a08c435
hex6d0e23c

114352700 has 72 divisors (see below), whose sum is σ = 309396864. Its totient is φ = 35640000.

The previous prime is 114352699. The next prime is 114352703. The reversal of 114352700 is 7253411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114352703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275 + ... + 15125.

Almost surely, 2114352700 is an apocalyptic number.

114352700 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 114352700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154698432).

114352700 is an abundant number, since it is smaller than the sum of its proper divisors (195044164).

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

114352700 is a wasteful number, since it uses less digits than its factorization.

114352700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883 (or 14876 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 114352700 is about 10693.5821874618. The cubic root of 114352700 is about 485.3802947772.

The spelling of 114352700 in words is "one hundred fourteen million, three hundred fifty-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 14851 29702 59404 74255 103957 148510 163361 207914 297020 326722 371275 415828 519785 653444 742550 816805 1039570 1143527 1485100 1633610 2079140 2287054 2598925 3267220 4084025 4574108 5197850 5717635 8168050 10395700 11435270 16336100 22870540 28588175 57176350 114352700