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107050392 = 23324371487
BaseRepresentation
bin1100110000101…
…11010110011000
321110102201112100
412120113112120
5204401103032
614342243400
72436625161
oct630272630
9243381470
10107050392
11554775a9
122ba26560
1319241937
1410308768
1595e897c
hex6617598

107050392 has 96 divisors (see below), whose sum is σ = 301466880. Its totient is φ = 34292160.

The previous prime is 107050381. The next prime is 107050399. The reversal of 107050392 is 293050701.

107050392 is a `hidden beast` number, since 1 + 0 + 70 + 503 + 92 = 666.

It is a super-2 number, since 2×1070503922 = 22919572854707328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107050399) 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 23 ways as a sum of consecutive naturals, for example, 219573 + ... + 220059.

It is an arithmetic number, because the mean of its divisors is an integer number (3140280).

Almost surely, 2107050392 is an apocalyptic number.

107050392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107050392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150733440).

107050392 is an abundant number, since it is smaller than the sum of its proper divisors (194416488).

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

107050392 is a wasteful number, since it uses less digits than its factorization.

107050392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 107050392 is about 10346.5159353282. The cubic root of 107050392 is about 474.8204558735.

The spelling of 107050392 in words is "one hundred seven million, fifty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 71 72 86 129 142 172 213 258 284 344 387 426 487 516 568 639 774 852 974 1032 1278 1461 1548 1704 1948 2556 2922 3053 3096 3896 4383 5112 5844 6106 8766 9159 11688 12212 17532 18318 20941 24424 27477 34577 35064 36636 41882 54954 62823 69154 73272 83764 103731 109908 125646 138308 167528 188469 207462 219816 251292 276616 311193 376938 414924 502584 622386 753876 829848 1244772 1486811 1507752 2489544 2973622 4460433 5947244 8920866 11894488 13381299 17841732 26762598 35683464 53525196 107050392