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130945940 = 2257389689
BaseRepresentation
bin1111100111000…
…01001110010100
3100010101202001122
413303201032110
5232010232230
620554343112
73150010406
oct763411624
9303352048
10130945940
1167a08694
1237a2aa98
132118a208
1413568b76
15b768be5
hex7ce1394

130945940 has 24 divisors (see below), whose sum is σ = 278756520. Its totient is φ = 51660288.

The previous prime is 130945937. The next prime is 130945943. The reversal of 130945940 is 49549031.

It is an interprime number because it is at equal distance from previous prime (130945937) and next prime (130945943).

It can be written as a sum of positive squares in 4 ways, for example, as 23367556 + 107578384 = 4834^2 + 10372^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 130945940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130945943) 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, 43385 + ... + 46304.

It is an arithmetic number, because the mean of its divisors is an integer number (11614855).

Almost surely, 2130945940 is an apocalyptic number.

130945940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130945940 is an abundant number, since it is smaller than the sum of its proper divisors (147810580).

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

130945940 is a wasteful number, since it uses less digits than its factorization.

130945940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89771 (or 89769 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 130945940 is about 11443.1612765005. The cubic root of 130945940 is about 507.8054362694.

The spelling of 130945940 in words is "one hundred thirty million, nine hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 89689 179378 358756 448445 896890 1793780 6547297 13094594 26189188 32736485 65472970 130945940