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130640720 = 2457792953
BaseRepresentation
bin1111100100101…
…10101101010000
3100002211020101012
413302112231100
5231421000340
620544030052
73144266510
oct762265520
9302736335
10130640720
116781a341
1237902328
13210b1302
14134c9840
15b708565
hex7c96b50

130640720 has 80 divisors (see below), whose sum is σ = 351644160. Its totient is φ = 44209152.

The previous prime is 130640717. The next prime is 130640729. The reversal of 130640720 is 27046031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130640729) 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, 42764 + ... + 45716.

It is an arithmetic number, because the mean of its divisors is an integer number (4395552).

Almost surely, 2130640720 is an apocalyptic number.

130640720 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 130640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175822080).

130640720 is an abundant number, since it is smaller than the sum of its proper divisors (221003440).

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

130640720 is a wasteful number, since it uses less digits than its factorization.

130640720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 130640720 is about 11429.8171463939. The cubic root of 130640720 is about 507.4105838730.

Adding to 130640720 its reverse (27046031), we get a palindrome (157686751).

The spelling of 130640720 in words is "one hundred thirty million, six hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1580 2212 2765 2953 3160 4424 5530 5906 6320 8848 11060 11812 14765 20671 22120 23624 29530 41342 44240 47248 59060 82684 103355 118120 165368 206710 233287 236240 330736 413420 466574 826840 933148 1166435 1633009 1653680 1866296 2332870 3266018 3732592 4665740 6532036 8165045 9331480 13064072 16330090 18662960 26128144 32660180 65320360 130640720