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130417060 = 22529713167
BaseRepresentation
bin1111100011000…
…00000110100100
3100002101212120111
413301200012210
5231341321220
620535142404
73142345444
oct761400644
9302355514
10130417060
11676872a4
1237814a04
1321033577
141346c124
15b6b215a
hex7c601a4

130417060 has 48 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 49642880.

The previous prime is 130417009. The next prime is 130417087. The reversal of 130417060 is 60714031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39597 + ... + 42763.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2130417060 is an apocalyptic number.

130417060 is a gapful number since it is divisible by the number (10) 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 130417060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143700480).

130417060 is an abundant number, since it is smaller than the sum of its proper divisors (156983900).

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

130417060 is a wasteful number, since it uses less digits than its factorization.

130417060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 130417060 is about 11420.0288966359. The cubic root of 130417060 is about 507.1208521639.

The spelling of 130417060 in words is "one hundred thirty million, four hundred seventeen thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 71 116 142 145 284 290 355 580 710 1420 2059 3167 4118 6334 8236 10295 12668 15835 20590 31670 41180 63340 91843 183686 224857 367372 449714 459215 899428 918430 1124285 1836860 2248570 4497140 6520853 13041706 26083412 32604265 65208530 130417060