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100054064 = 24114311319
BaseRepresentation
bin1011111011010…
…11010000110000
320222021021101002
411331223100300
5201103212224
613532301132
72323305545
oct575532060
9228237332
10100054064
1151529110
12296117a8
13179622b6
14d406bcc
158bb59ae
hex5f6b430

100054064 has 40 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 45339200.

The previous prime is 100054051. The next prime is 100054069. The reversal of 100054064 is 460450001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100054069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75197 + ... + 76515.

It is an arithmetic number, because the mean of its divisors is an integer number (5303232).

Almost surely, 2100054064 is an apocalyptic number.

It is an amenable number.

100054064 is an abundant number, since it is smaller than the sum of its proper divisors (112075216).

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

100054064 is a wasteful number, since it uses less digits than its factorization.

100054064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 100054064 is about 10002.7028347342. The cubic root of 100054064 is about 464.2425159110.

The spelling of 100054064 in words is "one hundred million, fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 431 862 1319 1724 2638 3448 4741 5276 6896 9482 10552 14509 18964 21104 29018 37928 58036 75856 116072 232144 568489 1136978 2273956 4547912 6253379 9095824 12506758 25013516 50027032 100054064