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107390340 = 22335712801
BaseRepresentation
bin1100110011010…
…10010110000100
321111001222212000
412121222112010
5204442442330
614353425300
72442542241
oct631522604
9244058760
10107390340
1155689a52
122bb6b230
13193305a5
14103965c8
159664560
hex666a584

107390340 has 96 divisors (see below), whose sum is σ = 338929920. Its totient is φ = 28224000.

The previous prime is 107390329. The next prime is 107390359. The reversal of 107390340 is 43093701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36940 + ... + 39740.

It is an arithmetic number, because the mean of its divisors is an integer number (3530520).

Almost surely, 2107390340 is an apocalyptic number.

107390340 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 107390340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169464960).

107390340 is an abundant number, since it is smaller than the sum of its proper divisors (231539580).

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

107390340 is a wasteful number, since it uses less digits than its factorization.

107390340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 107390340 is about 10362.9310525546. The cubic root of 107390340 is about 475.3225362500.

The spelling of 107390340 in words is "one hundred seven million, three hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 2801 3195 3834 4260 5602 6390 7668 8403 9585 11204 12780 14005 16806 19170 25209 28010 33612 38340 42015 50418 56020 75627 84030 100836 126045 151254 168060 198871 252090 302508 378135 397742 504180 596613 756270 795484 994355 1193226 1512540 1789839 1988710 2386452 2983065 3579678 3977420 5369517 5966130 7159356 8949195 10739034 11932260 17898390 21478068 26847585 35796780 53695170 107390340