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103393960 = 23559193227
BaseRepresentation
bin1100010100110…
…10101010101000
321012112221211221
412022122222220
5202432101320
614132031424
72363556055
oct612325250
9235487757
10103393960
11533aa45a
122a762574
1318561577
14da3602c
1591253aa
hex629aaa8

103393960 has 64 divisors (see below), whose sum is σ = 238852800. Its totient is φ = 40267776.

The previous prime is 103393957. The next prime is 103393967. The reversal of 103393960 is 69393301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103393967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455367 + ... + 455593.

It is an arithmetic number, because the mean of its divisors is an integer number (3732075).

Almost surely, 2103393960 is an apocalyptic number.

103393960 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 103393960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119426400).

103393960 is an abundant number, since it is smaller than the sum of its proper divisors (135458840).

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

103393960 is a wasteful number, since it uses less digits than its factorization.

103393960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 34.

The square root of 103393960 is about 10168.2820574569. The cubic root of 103393960 is about 469.3516940526.

The spelling of 103393960 in words is "one hundred three million, three hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 118 193 227 236 295 386 454 472 590 772 908 965 1135 1180 1544 1816 1930 2270 2360 3860 4540 7720 9080 11387 13393 22774 26786 43811 45548 53572 56935 66965 87622 91096 107144 113870 133930 175244 219055 227740 267860 350488 438110 455480 535720 876220 1752440 2584849 5169698 10339396 12924245 20678792 25848490 51696980 103393960