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103070016 = 263378521
BaseRepresentation
bin1100010010010…
…11100101000000
321011221111111000
412021023211000
5202341220031
614121052000
72361036450
oct611134500
9234844430
10103070016
11531a9035
122a627000
1318479c9a
14d98dd60
1590ae3e6
hex624b940

103070016 has 112 divisors (see below), whose sum is σ = 346334080. Its totient is φ = 29445120.

The previous prime is 103069979. The next prime is 103070017. The reversal of 103070016 is 610070301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103070017) 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, 7836 + ... + 16356.

Almost surely, 2103070016 is an apocalyptic number.

103070016 is a gapful number since it is divisible by the number (16) 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 103070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173167040).

103070016 is an abundant number, since it is smaller than the sum of its proper divisors (243264064).

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

103070016 is an equidigital number, since it uses as much as digits as its factorization.

103070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 103070016 is about 10152.3404198244. The cubic root of 103070016 is about 468.8610053906.

The spelling of 103070016 in words is "one hundred three million, seventy thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 8521 12096 17042 25563 34084 51126 59647 68168 76689 102252 119294 136336 153378 178941 204504 230067 238588 272672 306756 357882 409008 460134 477176 536823 545344 613512 715764 818016 920268 954352 1073646 1227024 1431528 1610469 1636032 1840536 1908704 2147292 2454048 2863056 3220938 3681072 3817408 4294584 4908096 5726112 6441876 7362144 8589168 11452224 12883752 14724288 17178336 25767504 34356672 51535008 103070016