Search a number
-
+
107054460 = 2234566083
BaseRepresentation
bin1100110000110…
…00010101111100
321110102221010000
412120120111330
5204401220320
614342314300
72436643062
oct630302574
9243387100
10107054460
115547a667
122ba28990
1319243746
141030a032
1595e9c90
hex661857c

107054460 has 60 divisors (see below), whose sum is σ = 335838888. Its totient is φ = 28547424.

The previous prime is 107054449. The next prime is 107054471. The reversal of 107054460 is 64450701.

It is an interprime number because it is at equal distance from previous prime (107054449) and next prime (107054471).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1070544602 = 22921314811783200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 31422 + ... + 34661.

Almost surely, 2107054460 is an apocalyptic number.

107054460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107054460 is an abundant number, since it is smaller than the sum of its proper divisors (228784428).

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

107054460 is a wasteful number, since it uses less digits than its factorization.

107054460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66104 (or 66093 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 107054460 is about 10346.7125213761. The cubic root of 107054460 is about 474.8264703156.

The spelling of 107054460 in words is "one hundred seven million, fifty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 66083 132166 198249 264332 330415 396498 594747 660830 792996 991245 1189494 1321660 1784241 1982490 2378988 2973735 3568482 3964980 5352723 5947470 7136964 8921205 10705446 11894940 17842410 21410892 26763615 35684820 53527230 107054460