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114748400 = 24521322067
BaseRepresentation
bin1101101011011…
…10101111110000
321222220211012202
412311232233300
5213333422100
615215242332
72562226304
oct665565760
9258824182
10114748400
1159855198
12325193a8
131aa08780
141134dd04
15a1197d5
hex6d6ebf0

114748400 has 60 divisors (see below), whose sum is σ = 296902872. Its totient is φ = 42366720.

The previous prime is 114748397. The next prime is 114748409. The reversal of 114748400 is 4847411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114748409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5834 + ... + 16233.

Almost surely, 2114748400 is an apocalyptic number.

114748400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114748400 is an abundant number, since it is smaller than the sum of its proper divisors (182154472).

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

114748400 is a wasteful number, since it uses less digits than its factorization.

114748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22098 (or 22087 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 114748400 is about 10712.0679609495. The cubic root of 114748400 is about 485.9395116282.

The spelling of 114748400 in words is "one hundred fourteen million, seven hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 22067 44134 88268 110335 176536 220670 286871 353072 441340 551675 573742 882680 1103350 1147484 1434355 1765360 2206700 2294968 2868710 4413400 4589936 5737420 7171775 8826800 11474840 14343550 22949680 28687100 57374200 114748400