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107484120 = 233252931019
BaseRepresentation
bin1100110100000…
…01001111011000
321111020202111100
412122001033120
5210003442440
614355431400
72443412532
oct632011730
9244222440
10107484120
1155743457
122bbb5560
1319364193
14103bc852
159682230
hex66813d8

107484120 has 96 divisors (see below), whose sum is σ = 350859600. Its totient is φ = 28536576.

The previous prime is 107484107. The next prime is 107484151. The reversal of 107484120 is 21484701.

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, 104971 + ... + 105989.

Almost surely, 2107484120 is an apocalyptic number.

107484120 is a gapful number since it is divisible by the number (10) 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 107484120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

107484120 is an abundant number, since it is smaller than the sum of its proper divisors (243375480).

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

107484120 is a wasteful number, since it uses less digits than its factorization.

107484120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 107484120 is about 10367.4548467789. The cubic root of 107484120 is about 475.4608565070.

The spelling of 107484120 in words is "one hundred seven million, four hundred eighty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 293 360 586 879 1019 1172 1465 1758 2038 2344 2637 2930 3057 3516 4076 4395 5095 5274 5860 6114 7032 8152 8790 9171 10190 10548 11720 12228 13185 15285 17580 18342 20380 21096 24456 26370 30570 35160 36684 40760 45855 52740 61140 73368 91710 105480 122280 183420 298567 366840 597134 895701 1194268 1492835 1791402 2388536 2687103 2985670 3582804 4478505 5374206 5971340 7165608 8957010 10748412 11942680 13435515 17914020 21496824 26871030 35828040 53742060 107484120