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107473392 = 2434136379
BaseRepresentation
bin1100110011111…
…10100111110000
321111020012210000
412121332213300
5210003122032
614355310000
72443336335
oct631764760
9244205700
10107473392
1155736394
122bbab300
131935c330
14103b898c
15967de7c
hex667e9f0

107473392 has 100 divisors (see below), whose sum is σ = 335039320. Its totient is φ = 33063552.

The previous prime is 107473363. The next prime is 107473433. The reversal of 107473392 is 293374701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13659 + ... + 20037.

Almost surely, 2107473392 is an apocalyptic number.

107473392 is a gapful number since it is divisible by the number (12) 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 107473392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167519660).

107473392 is an abundant number, since it is smaller than the sum of its proper divisors (227565928).

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

107473392 is a wasteful number, since it uses less digits than its factorization.

107473392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 107473392 is about 10366.9374455526. The cubic root of 107473392 is about 475.4450373833.

The spelling of 107473392 in words is "one hundred seven million, four hundred seventy-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 6379 8424 12758 16848 19137 25516 38274 51032 57411 76548 82927 102064 114822 153096 165854 172233 229644 248781 306192 331708 344466 459288 497562 516699 663416 688932 746343 918576 995124 1033398 1326832 1377864 1492686 1990248 2066796 2239029 2755728 2985372 3980496 4133592 4478058 5970744 6717087 8267184 8956116 11941488 13434174 17912232 26868348 35824464 53736696 107473392