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101939652 = 22322831657
BaseRepresentation
bin1100001001101…
…11100111000100
321002211001220200
412010313213010
5202044032102
614040530500
72345321103
oct604674704
9232731820
10101939652
11525a6851
122a180a30
1318172629
14d77803a
158e3951c
hex61379c4

101939652 has 18 divisors (see below), whose sum is σ = 257680878. Its totient is φ = 33979872.

The previous prime is 101939641. The next prime is 101939659. The reversal of 101939652 is 256939101.

It can be written as a sum of positive squares in only one way, i.e., 85488516 + 16451136 = 9246^2 + 4056^2 .

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

It is a super-2 number, since 2×1019396522 = 20783385299762208, which contains 22 as substring.

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: 2831657 = 101939652 / (1 + 0 + 1 + 9 + 3 + 9 + 6 + 5 + 2).

It is not an unprimeable number, because it can be changed into a prime (101939659) 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 5 ways as a sum of consecutive naturals, for example, 1415793 + ... + 1415864.

Almost surely, 2101939652 is an apocalyptic number.

101939652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101939652 is an abundant number, since it is smaller than the sum of its proper divisors (155741226).

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

101939652 is a wasteful number, since it uses less digits than its factorization.

101939652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831667 (or 2831662 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 101939652 is about 10096.5168251234. The cubic root of 101939652 is about 467.1407090053.

The spelling of 101939652 in words is "one hundred one million, nine hundred thirty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2831657 5663314 8494971 11326628 16989942 25484913 33979884 50969826 101939652