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130352970 = 235112953257
BaseRepresentation
bin1111100010100…
…00011101001010
3100002021121122210
413301100131022
5231332243340
620533525550
73141660546
oct761203512
9302247583
10130352970
1167643130
12377a38b6
1321010347
1413452a26
15b69d180
hex7c5074a

130352970 has 128 divisors (see below), whose sum is σ = 361117440. Its totient is φ = 29818880.

The previous prime is 130352951. The next prime is 130352987. The reversal of 130352970 is 79253031.

130352970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507082 + ... + 507338.

It is an arithmetic number, because the mean of its divisors is an integer number (2821230).

Almost surely, 2130352970 is an apocalyptic number.

130352970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130352970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180558720).

130352970 is an abundant number, since it is smaller than the sum of its proper divisors (230764470).

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

130352970 is a wasteful number, since it uses less digits than its factorization.

130352970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 130352970 is about 11417.2225168821. Note that the first 3 decimals coincide. The cubic root of 130352970 is about 507.0377681951.

The spelling of 130352970 in words is "one hundred thirty million, three hundred fifty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 53 55 58 66 87 106 110 145 159 165 174 257 265 290 318 319 330 435 514 530 583 638 771 795 870 957 1166 1285 1537 1542 1590 1595 1749 1914 2570 2827 2915 3074 3190 3498 3855 4611 4785 5654 5830 7453 7685 7710 8481 8745 9222 9570 13621 14135 14906 15370 16907 16962 17490 22359 23055 27242 28270 33814 37265 40863 42405 44718 46110 50721 68105 74530 81726 81983 84535 84810 101442 111795 136210 149831 163966 169070 204315 223590 245949 253605 299662 395009 408630 409915 449493 491898 507210 749155 790018 819830 898986 1185027 1229745 1498310 1975045 2247465 2370054 2459490 3950090 4345099 4494930 5925135 8690198 11850270 13035297 21725495 26070594 43450990 65176485 130352970