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107294900 = 225219149379
BaseRepresentation
bin1100110010100…
…11000010110100
321110220010221012
412121103002310
5204431414100
614351411352
72441664056
oct631230264
9243803835
10107294900
1155624279
122bb23b58
13192c900b
141036d8d6
159646135
hex66530b4

107294900 has 72 divisors (see below), whose sum is σ = 247380000. Its totient is φ = 40279680.

The previous prime is 107294893. The next prime is 107294923. The reversal of 107294900 is 9492701.

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, 282911 + ... + 283289.

Almost surely, 2107294900 is an apocalyptic number.

107294900 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 107294900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123690000).

107294900 is an abundant number, since it is smaller than the sum of its proper divisors (140085100).

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

107294900 is a wasteful number, since it uses less digits than its factorization.

107294900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 107294900 is about 10358.3251541936. The cubic root of 107294900 is about 475.1816848836.

The spelling of 107294900 in words is "one hundred seven million, two hundred ninety-four thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 149 190 298 379 380 475 596 745 758 950 1490 1516 1895 1900 2831 2980 3725 3790 5662 7201 7450 7580 9475 11324 14155 14402 14900 18950 28310 28804 36005 37900 56471 56620 70775 72010 112942 141550 144020 180025 225884 282355 283100 360050 564710 720100 1072949 1129420 1411775 2145898 2823550 4291796 5364745 5647100 10729490 21458980 26823725 53647450 107294900