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130175540 = 22511837129
BaseRepresentation
bin1111100001001…
…01001000110100
3100001221121021022
413300211020310
5231311104130
620530040312
73140321345
oct760451064
9301847238
10130175540
11675318a0
1237719098
1320c7a661
14134080cc
15b6657e5
hex7c25234

130175540 has 48 divisors (see below), whose sum is σ = 301855680. Its totient is φ = 46759680.

The previous prime is 130175537. The next prime is 130175543. The reversal of 130175540 is 45571031.

130175540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130175537) and next prime (130175543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130175543) 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, 14696 + ... + 21824.

It is an arithmetic number, because the mean of its divisors is an integer number (6288660).

Almost surely, 2130175540 is an apocalyptic number.

130175540 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 130175540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150927840).

130175540 is an abundant number, since it is smaller than the sum of its proper divisors (171680140).

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

130175540 is a wasteful number, since it uses less digits than its factorization.

130175540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7232 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 130175540 is about 11409.4495923335. The cubic root of 130175540 is about 506.8076121806.

The spelling of 130175540 in words is "one hundred thirty million, one hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 7129 9130 14258 18260 28516 35645 71290 78419 142580 156838 313676 392095 591707 784190 1183414 1568380 2366828 2958535 5917070 6508777 11834140 13017554 26035108 32543885 65087770 130175540