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130267040 = 2551973587
BaseRepresentation
bin1111100001110…
…11011110100000
3100002010020210012
413300323132200
5231322021130
620532024052
73141152201
oct760733640
9302106705
10130267040
1167594612
1237762028
1320cb01b7
141342d5a8
15b682995
hex7c3b7a0

130267040 has 96 divisors (see below), whose sum is σ = 328950720. Its totient is φ = 48605184.

The previous prime is 130267031. The next prime is 130267061. The reversal of 130267040 is 40762031.

It is a junction number, because it is equal to n+sod(n) for n = 130266997 and 130267015.

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, 221627 + ... + 222213.

It is an arithmetic number, because the mean of its divisors is an integer number (3426570).

Almost surely, 2130267040 is an apocalyptic number.

130267040 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 130267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164475360).

130267040 is an abundant number, since it is smaller than the sum of its proper divisors (198683680).

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

130267040 is a wasteful number, since it uses less digits than its factorization.

130267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

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

The square root of 130267040 is about 11413.4587220527. The cubic root of 130267040 is about 506.9263288910.

The spelling of 130267040 in words is "one hundred thirty million, two hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 73 76 80 95 146 152 160 190 292 304 365 380 584 587 608 730 760 1168 1174 1387 1460 1520 2336 2348 2774 2920 2935 3040 4696 5548 5840 5870 6935 9392 11096 11153 11680 11740 13870 18784 22192 22306 23480 27740 42851 44384 44612 46960 55480 55765 85702 89224 93920 110960 111530 171404 178448 214255 221920 223060 342808 356896 428510 446120 685616 814169 857020 892240 1371232 1628338 1714040 1784480 3256676 3428080 4070845 6513352 6856160 8141690 13026704 16283380 26053408 32566760 65133520 130267040