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100866852 = 22322801857
BaseRepresentation
bin1100000001100…
…01101100100100
321000210120022100
412000301230210
5201310214402
614001532100
72333232312
oct600615444
9230716270
10100866852
1151a33839
1229944030
1317b88238
14d5790b2
158cc671c
hex6031b24

100866852 has 18 divisors (see below), whose sum is σ = 254969078. Its totient is φ = 33622272.

The previous prime is 100866833. The next prime is 100866881. The reversal of 100866852 is 258668001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70660836 + 30206016 = 8406^2 + 5496^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2801857 = 100866852 / (1 + 0 + 0 + 8 + 6 + 6 + 8 + 5 + 2).

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, 1400893 + ... + 1400964.

Almost surely, 2100866852 is an apocalyptic number.

100866852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100866852 is an abundant number, since it is smaller than the sum of its proper divisors (154102226).

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

100866852 is a wasteful number, since it uses less digits than its factorization.

100866852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801867 (or 2801862 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 100866852 is about 10043.2490758718. The cubic root of 100866852 is about 465.4962167272.

The spelling of 100866852 in words is "one hundred million, eight hundred sixty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2801857 5603714 8405571 11207428 16811142 25216713 33622284 50433426 100866852