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107492490 = 23257971759
BaseRepresentation
bin1100110100000…
…11010010001010
321111021011222100
412122003102022
5210004224430
614355534230
72443446120
oct632032212
9244234870
10107492490
1155749776
122bbba376
1319367c31
14103c1910
159684960
hex668348a

107492490 has 96 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 24302592.

The previous prime is 107492417. The next prime is 107492491. The reversal of 107492490 is 94294701.

107492490 is a `hidden beast` number, since 10 + 74 + 92 + 490 = 666.

It is not an unprimeable number, because it can be changed into a prime (107492491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60231 + ... + 61989.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2107492490 is an apocalyptic number.

107492490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107492490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

107492490 is an abundant number, since it is smaller than the sum of its proper divisors (215390070).

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

107492490 is a wasteful number, since it uses less digits than its factorization.

107492490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107492490 is about 10367.8585059789. The cubic root of 107492490 is about 475.4731978776.

The spelling of 107492490 in words is "one hundred seven million, four hundred ninety-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 97 105 126 194 210 291 315 485 582 630 679 873 970 1358 1455 1746 1759 2037 2910 3395 3518 4074 4365 5277 6111 6790 8730 8795 10185 10554 12222 12313 15831 17590 20370 24626 26385 30555 31662 36939 52770 61110 61565 73878 79155 110817 123130 158310 170623 184695 221634 341246 369390 511869 554085 853115 1023738 1108170 1194361 1535607 1706230 2388722 2559345 3071214 3583083 5118690 5971805 7166166 7678035 10749249 11943610 15356070 17915415 21498498 35830830 53746245 107492490