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114477272 = 23713672347
BaseRepresentation
bin1101101001011…
…00100011011000
321222102001021222
412310230203120
5213301233042
615205351212
72560016660
oct664544330
9258361258
10114477272
115968a518
1232408508
131a942240
14112bd1a0
15a0b42d2
hex6d2c8d8

114477272 has 64 divisors (see below), whose sum is σ = 268235520. Its totient is φ = 44592768.

The previous prime is 114477271. The next prime is 114477277. The reversal of 114477272 is 272774411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114477271) 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 15 ways as a sum of consecutive naturals, for example, 47603 + ... + 49949.

It is an arithmetic number, because the mean of its divisors is an integer number (4191180).

Almost surely, 2114477272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114477272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134117760).

114477272 is an abundant number, since it is smaller than the sum of its proper divisors (153758248).

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

114477272 is a wasteful number, since it uses less digits than its factorization.

114477272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2436 counting only the distinct ones).

The product of its digits is 21952, while the sum is 35.

The square root of 114477272 is about 10699.4052171137. The cubic root of 114477272 is about 485.5564831583.

The spelling of 114477272 in words is "one hundred fourteen million, four hundred seventy-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 67 91 104 134 182 268 364 469 536 728 871 938 1742 1876 2347 3484 3752 4694 6097 6968 9388 12194 16429 18776 24388 30511 32858 48776 61022 65716 122044 131432 157249 213577 244088 314498 427154 628996 854308 1100743 1257992 1708616 2044237 2201486 4088474 4402972 8176948 8805944 14309659 16353896 28619318 57238636 114477272