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130103040 = 2835171993
BaseRepresentation
bin1111100000100…
…11011100000000
3100001210220211010
413300103130000
5231301244130
620524320520
73136600104
oct760233400
9301726733
10130103040
1167492381
12376a3140
1320c53662
14133c9904
15b64e0b0
hex7c13700

130103040 has 144 divisors (see below), whose sum is σ = 440179488. Its totient is φ = 32636928.

The previous prime is 130103021. The next prime is 130103047. The reversal of 130103040 is 40301031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130103047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64284 + ... + 66276.

It is an arithmetic number, because the mean of its divisors is an integer number (3056802).

Almost surely, 2130103040 is an apocalyptic number.

130103040 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 130103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220089744).

130103040 is an abundant number, since it is smaller than the sum of its proper divisors (310076448).

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

130103040 is a wasteful number, since it uses less digits than its factorization.

130103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130103040 is about 11406.2719588830. The cubic root of 130103040 is about 506.7135075193.

Adding to 130103040 its reverse (40301031), we get a palindrome (170404071).

The spelling of 130103040 in words is "one hundred thirty million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 1993 2040 2176 2720 3264 3840 3986 4080 4352 5440 5979 6528 7972 8160 9965 10880 11958 13056 15944 16320 19930 21760 23916 29895 31888 32640 33881 39860 47832 59790 63776 65280 67762 79720 95664 101643 119580 127552 135524 159440 169405 191328 203286 239160 255104 271048 318880 338810 382656 406572 478320 508215 510208 542096 637760 677620 765312 813144 956640 1016430 1084192 1275520 1355240 1530624 1626288 1913280 2032860 2168384 2551040 2710480 3252576 3826560 4065720 4336768 5420960 6505152 7653120 8131440 8673536 10841920 13010304 16262880 21683840 26020608 32525760 43367680 65051520 130103040