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103146980 = 22541125789
BaseRepresentation
bin1100010010111…
…10010111100100
321012002102001112
412021132113210
5202401200410
614122444152
72361510026
oct611362744
9235072045
10103146980
1153250942
122a663658
13184a6021
14d9b0016
1590c7105
hex625e5e4

103146980 has 24 divisors (see below), whose sum is σ = 221893560. Its totient is φ = 40252160.

The previous prime is 103146977. The next prime is 103146983. The reversal of 103146980 is 89641301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103146977) and next prime (103146983).

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 103103716 = 208^2 + 10154^2 .

It is not an unprimeable number, because it can be changed into a prime (103146983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62075 + ... + 63714.

It is an arithmetic number, because the mean of its divisors is an integer number (9245565).

Almost surely, 2103146980 is an apocalyptic number.

103146980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103146980 is an abundant number, since it is smaller than the sum of its proper divisors (118746580).

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

103146980 is a wasteful number, since it uses less digits than its factorization.

103146980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125839 (or 125837 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 103146980 is about 10156.1301685238. The cubic root of 103146980 is about 468.9776783141.

The spelling of 103146980 in words is "one hundred three million, one hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 125789 251578 503156 628945 1257890 2515780 5157349 10314698 20629396 25786745 51573490 103146980