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130133040 = 24353117491
BaseRepresentation
bin1111100000110…
…10110000110000
3100001212102222020
413300122300300
5231303224130
620525111440
73140053422
oct760326060
9301772866
10130133040
1167502974
12376b8580
1320c641cb
14133d6812
15b657e10
hex7c1ac30

130133040 has 80 divisors (see below), whose sum is σ = 416449536. Its totient is φ = 33580800.

The previous prime is 130132999. The next prime is 130133077. The reversal of 130133040 is 40331031.

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 (15).

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, 1306 + ... + 16185.

Almost surely, 2130133040 is an apocalyptic number.

130133040 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 130133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208224768).

130133040 is an abundant number, since it is smaller than the sum of its proper divisors (286316496).

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

130133040 is a wasteful number, since it uses less digits than its factorization.

130133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17538 (or 17532 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130133040 is about 11407.5869490440. The cubic root of 130133040 is about 506.7524516182.

Adding to 130133040 its reverse (40331031), we get a palindrome (170464071).

The spelling of 130133040 in words is "one hundred thirty million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 17491 34982 52473 69964 87455 104946 139928 174910 209892 262365 279856 349820 419784 524730 542221 699640 839568 1049460 1084442 1399280 1626663 2098920 2168884 2711105 3253326 4197840 4337768 5422210 6506652 8133315 8675536 10844420 13013304 16266630 21688840 26026608 32533260 43377680 65066520 130133040