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114419952 = 243529429
BaseRepresentation
bin1101101000111…
…10100011110000
321222022010200000
412310132203300
5213242414302
615204230000
72556360603
oct664364360
9258263600
10114419952
1159650449
123239b300
131a92211a
14112a633a
15a0a231c
hex6d1e8f0

114419952 has 60 divisors (see below), whose sum is σ = 332088120. Its totient is φ = 38138688.

The previous prime is 114419941. The next prime is 114419953. The reversal of 114419952 is 259914411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114419953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10827 + ... + 18602.

It is an arithmetic number, because the mean of its divisors is an integer number (5534802).

Almost surely, 2114419952 is an apocalyptic number.

114419952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114419952 is an abundant number, since it is smaller than the sum of its proper divisors (217668168).

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

114419952 is an equidigital number, since it uses as much as digits as its factorization.

114419952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29452 (or 29434 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 114419952 is about 10696.7262281504. The cubic root of 114419952 is about 485.4754285125.

The spelling of 114419952 in words is "one hundred fourteen million, four hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 29429 58858 88287 117716 176574 235432 264861 353148 470864 529722 706296 794583 1059444 1412592 1589166 2118888 2383749 3178332 4237776 4767498 6356664 7151247 9534996 12713328 14302494 19069992 28604988 38139984 57209976 114419952