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103945512 = 233112913577
BaseRepresentation
bin1100011001000…
…01010100101000
321020120222102210
412030201110220
5203102224022
614151525120
72401344066
oct614412450
9236528383
10103945512
1153746890
122a9897a0
13186c5628
14db3b036
1591d3a0c
hex6321528

103945512 has 64 divisors (see below), whose sum is σ = 293284800. Its totient is φ = 30410240.

The previous prime is 103945507. The next prime is 103945519. The reversal of 103945512 is 215549301.

It is a self number, because there is not a number n which added to its sum of digits gives 103945512.

It is not an unprimeable number, because it can be changed into a prime (103945519) 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, 868 + ... + 14444.

It is an arithmetic number, because the mean of its divisors is an integer number (4582575).

Almost surely, 2103945512 is an apocalyptic number.

103945512 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 103945512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146642400).

103945512 is an abundant number, since it is smaller than the sum of its proper divisors (189339288).

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

103945512 is a wasteful number, since it uses less digits than its factorization.

103945512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13626 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 103945512 is about 10195.3671831867. The cubic root of 103945512 is about 470.1847952968.

The spelling of 103945512 in words is "one hundred three million, nine hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 13577 27154 40731 54308 81462 108616 149347 162924 298694 325848 393733 448041 597388 787466 896082 1181199 1194776 1574932 1792164 2362398 3149864 3584328 4331063 4724796 8662126 9449592 12993189 17324252 25986378 34648504 51972756 103945512