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107233740 = 22335349569
BaseRepresentation
bin1100110010001…
…00000111001100
321110210001001000
412121010013030
5204422434430
614350220300
72441320545
oct631040714
9243701030
10107233740
1155592329
122bab4690
13192a7223
14103554cc
159632e60
hex66441cc

107233740 has 96 divisors (see below), whose sum is σ = 335160000. Its totient is φ = 28463616.

The previous prime is 107233729. The next prime is 107233741. The reversal of 107233740 is 47332701.

It is a super-2 number, since 2×1072337402 = 22998149988775200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107233741) 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 31 ways as a sum of consecutive naturals, for example, 188176 + ... + 188744.

It is an arithmetic number, because the mean of its divisors is an integer number (3491250).

Almost surely, 2107233740 is an apocalyptic number.

107233740 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 107233740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167580000).

107233740 is an abundant number, since it is smaller than the sum of its proper divisors (227926260).

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

107233740 is a wasteful number, since it uses less digits than its factorization.

107233740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 107233740 is about 10355.3725186494. The cubic root of 107233740 is about 475.0913803877.

The spelling of 107233740 in words is "one hundred seven million, two hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 349 540 569 698 1047 1138 1396 1707 1745 2094 2276 2845 3141 3414 3490 4188 5121 5235 5690 6282 6828 6980 8535 9423 10242 10470 11380 12564 15363 15705 17070 18846 20484 20940 25605 30726 31410 34140 37692 47115 51210 61452 62820 76815 94230 102420 153630 188460 198581 307260 397162 595743 794324 992905 1191486 1787229 1985810 2382972 2978715 3574458 3971620 5361687 5957430 7148916 8936145 10723374 11914860 17872290 21446748 26808435 35744580 53616870 107233740