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130702240 = 2555315413
BaseRepresentation
bin1111100101001…
…01101110100000
3100002221100202201
413302211232200
5231424432430
620545222544
73144644044
oct762455640
9302840681
10130702240
1167861589
1237931a54
1321103306
1413504024
15b71b8ca
hex7ca5ba0

130702240 has 48 divisors (see below), whose sum is σ = 314630568. Its totient is φ = 51291136.

The previous prime is 130702223. The next prime is 130702249. The reversal of 130702240 is 42207031.

It can be written as a sum of positive squares in 4 ways, for example, as 128051856 + 2650384 = 11316^2 + 1628^2 .

It is not an unprimeable number, because it can be changed into a prime (130702249) 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, 774 + ... + 16186.

Almost surely, 2130702240 is an apocalyptic number.

130702240 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 130702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157315284).

130702240 is an abundant number, since it is smaller than the sum of its proper divisors (183928328).

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

130702240 is a wasteful number, since it uses less digits than its factorization.

130702240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15481 (or 15473 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 130702240 is about 11432.5080362972. The cubic root of 130702240 is about 507.4902195855.

Adding to 130702240 its reverse (42207031), we get a palindrome (172909271).

The spelling of 130702240 in words is "one hundred thirty million, seven hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 15413 30826 61652 77065 123304 154130 246608 308260 493216 616520 816889 1233040 1633778 2466080 3267556 4084445 6535112 8168890 13070224 16337780 26140448 32675560 65351120 130702240