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114005952 = 2632197927
BaseRepresentation
bin1101100101110…
…01011111000000
321221112002202200
412302321133000
5213141142302
615151313200
72553014604
oct662713700
9257462680
10114005952
11593983a5
123221b800
131a808858
14111d9504
15a01e81c
hex6cb97c0

114005952 has 42 divisors (see below), whose sum is σ = 326779128. Its totient is φ = 38001792.

The previous prime is 114005933. The next prime is 114005977. The reversal of 114005952 is 259500411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98388 + ... + 99539.

Almost surely, 2114005952 is an apocalyptic number.

114005952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114005952 is an abundant number, since it is smaller than the sum of its proper divisors (212773176).

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

114005952 is a wasteful number, since it uses less digits than its factorization.

114005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197945 (or 197932 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 114005952 is about 10677.3569763308. The cubic root of 114005952 is about 484.8891970637.

The spelling of 114005952 in words is "one hundred fourteen million, five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 197927 395854 593781 791708 1187562 1583416 1781343 2375124 3166832 3562686 4750248 6333664 7125372 9500496 12667328 14250744 19000992 28501488 38001984 57002976 114005952