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130646640 = 2435737457
BaseRepresentation
bin1111100100110…
…00001001110000
3100002211112111110
413302120021300
5231421143030
620544113320
73144322665
oct762301160
9302745443
10130646640
1167823833
1237905840
13210b3c07
14134cba6c
15b70a1b0
hex7c98270

130646640 has 80 divisors (see below), whose sum is σ = 410607648. Its totient is φ = 34357248.

The previous prime is 130646629. The next prime is 130646701. The reversal of 130646640 is 46646031.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130646598 and 130646607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13792 + ... + 21248.

Almost surely, 2130646640 is an apocalyptic number.

130646640 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 130646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205303824).

130646640 is an abundant number, since it is smaller than the sum of its proper divisors (279961008).

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

130646640 is a wasteful number, since it uses less digits than its factorization.

130646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7546 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 130646640 is about 11430.0761152321. The cubic root of 130646640 is about 507.4182482146.

The spelling of 130646640 in words is "one hundred thirty million, six hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 7457 8760 14914 17520 22371 29828 37285 44742 59656 74570 89484 111855 119312 149140 178968 223710 298280 357936 447420 544361 596560 894840 1088722 1633083 1789680 2177444 2721805 3266166 4354888 5443610 6532332 8165415 8709776 10887220 13064664 16330830 21774440 26129328 32661660 43548880 65323320 130646640