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101258768 = 2413486821
BaseRepresentation
bin1100000100100…
…01011000010000
321001112110220202
412002101120100
5201410240033
614014154332
72336454032
oct602213020
9231473822
10101258768
1152181236
1229ab29a8
1317c94740
14d63bc52
158d528e8
hex6091610

101258768 has 20 divisors (see below), whose sum is σ = 211280748. Its totient is φ = 46734720.

The previous prime is 101258753. The next prime is 101258789. The reversal of 101258768 is 867852101.

It can be written as a sum of positive squares in 2 ways, for example, as 54582544 + 46676224 = 7388^2 + 6832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243203 + ... + 243618.

Almost surely, 2101258768 is an apocalyptic number.

It is an amenable number.

101258768 is an abundant number, since it is smaller than the sum of its proper divisors (110021980).

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

101258768 is a wasteful number, since it uses less digits than its factorization.

101258768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486842 (or 486836 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 101258768 is about 10062.7415747400. The cubic root of 101258768 is about 466.0983294379.

The spelling of 101258768 in words is "one hundred one million, two hundred fifty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 486821 973642 1947284 3894568 6328673 7789136 12657346 25314692 50629384 101258768