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107924220 = 223254712757
BaseRepresentation
bin1100110111011…
…00101011111100
321112002010012100
412123230223330
5210112033340
614413105100
72450224605
oct633545374
9245063170
10107924220
1155a14078
1230188190
13194895b1
1410494dac
15971c830
hex66ecafc

107924220 has 72 divisors (see below), whose sum is σ = 334361664. Its totient is φ = 28165248.

The previous prime is 107924207. The next prime is 107924233. The reversal of 107924220 is 22429701.

It is an interprime number because it is at equal distance from previous prime (107924207) and next prime (107924233).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2082 + ... + 14838.

It is an arithmetic number, because the mean of its divisors is an integer number (4643912).

Almost surely, 2107924220 is an apocalyptic number.

107924220 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 107924220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167180832).

107924220 is an abundant number, since it is smaller than the sum of its proper divisors (226437444).

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

107924220 is a wasteful number, since it uses less digits than its factorization.

107924220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12819 (or 12814 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107924220 is about 10388.6582386755. The cubic root of 107924220 is about 476.1089068887.

The spelling of 107924220 in words is "one hundred seven million, nine hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 12757 25514 38271 51028 63785 76542 114813 127570 153084 191355 229626 255140 382710 459252 574065 599579 765420 1148130 1199158 1798737 2296260 2398316 2997895 3597474 5396211 5995790 7194948 8993685 10792422 11991580 17987370 21584844 26981055 35974740 53962110 107924220