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107276148 = 223271034133
BaseRepresentation
bin1100110010011…
…10011101110100
321110212012012200
412121032131310
5204430314043
614351144500
72441555310
oct631163564
9243765180
10107276148
1155611181
122bb15130
13192c0615
1410366b40
1596407d3
hex664e774

107276148 has 72 divisors (see below), whose sum is σ = 312993408. Its totient is φ = 30345408.

The previous prime is 107276129. The next prime is 107276161. The reversal of 107276148 is 841672701.

107276148 is a `hidden beast` number, since 10 + 7 + 27 + 614 + 8 = 666.

107276148 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

107276148 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23890 + ... + 28022.

Almost surely, 2107276148 is an apocalyptic number.

107276148 is a gapful number since it is divisible by the number (18) 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 107276148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156496704).

107276148 is an abundant number, since it is smaller than the sum of its proper divisors (205717260).

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

107276148 is a wasteful number, since it uses less digits than its factorization.

107276148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107276148 is about 10357.4199490027. The cubic root of 107276148 is about 475.1540006659.

The spelling of 107276148 in words is "one hundred seven million, two hundred seventy-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1442 1854 2163 2884 3708 4133 4326 6489 8266 8652 12399 12978 16532 24798 25956 28931 37197 49596 57862 74394 86793 115724 148788 173586 260379 347172 425699 520758 851398 1041516 1277097 1702796 2554194 2979893 3831291 5108388 5959786 7662582 8939679 11919572 15325164 17879358 26819037 35758716 53638074 107276148