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130426632 = 23337212323
BaseRepresentation
bin1111100011000…
…10011100001000
3100002102100201000
413301202130020
5231342123012
620535255000
73142415400
oct761423410
9302370630
10130426632
1167693506
123781a460
1321037a2b
1413471800
15b6b4ddc
hex7c62708

130426632 has 96 divisors (see below), whose sum is σ = 421480800. Its totient is φ = 37261728.

The previous prime is 130426631. The next prime is 130426633. The reversal of 130426632 is 236624031.

130426632 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 26 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (130426631) and next prime (130426633).

It is a super-2 number, since 2×1304266322 = 34022212669726848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130426596 and 130426605.

It is not an unprimeable number, because it can be changed into a prime (130426631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4423 + ... + 16745.

It is an arithmetic number, because the mean of its divisors is an integer number (4390425).

Almost surely, 2130426632 is an apocalyptic number.

130426632 is a gapful number since it is divisible by the number (12) 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 130426632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210740400).

130426632 is an abundant number, since it is smaller than the sum of its proper divisors (291054168).

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

130426632 is a wasteful number, since it uses less digits than its factorization.

130426632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 130426632 is about 11420.4479772030. The cubic root of 130426632 is about 507.1332586237.

The spelling of 130426632 in words is "one hundred thirty million, four hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 12323 24646 36969 49292 73938 86261 98584 110907 147876 172522 221814 258783 295752 332721 345044 443628 517566 603827 665442 690088 776349 887256 1035132 1207654 1330884 1552698 1811481 2070264 2329047 2415308 2661768 3105396 3622962 4658094 4830616 5434443 6210792 7245924 9316188 10868886 14491848 16303329 18632376 21737772 32606658 43475544 65213316 130426632