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103170416 = 2417438821
BaseRepresentation
bin1100010011001…
…00000101110000
321012010121012112
412021210011300
5202402423131
614123144452
72361635246
oct611440560
9235117175
10103170416
1153267508
122a675128
13184b38ab
14d9b8796
1590ce02b
hex6264170

103170416 has 40 divisors (see below), whose sum is σ = 216597744. Its totient is φ = 47416320.

The previous prime is 103170401. The next prime is 103170427. The reversal of 103170416 is 614071301.

It is a super-2 number, since 2×1031704162 = 21288269475226112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103170391 and 103170400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7286 + ... + 16106.

Almost surely, 2103170416 is an apocalyptic number.

103170416 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 103170416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108298872).

103170416 is an abundant number, since it is smaller than the sum of its proper divisors (113427328).

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

103170416 is a wasteful number, since it uses less digits than its factorization.

103170416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8889 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 103170416 is about 10157.2838889144. The cubic root of 103170416 is about 469.0131943921.

The spelling of 103170416 in words is "one hundred three million, one hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2924 5848 8821 11696 17642 35284 70568 141136 149957 299914 379303 599828 758606 1199656 1517212 2399312 3034424 6068848 6448151 12896302 25792604 51585208 103170416