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130434024 = 23374716519
BaseRepresentation
bin1111100011001…
…00001111101000
3100002102201211210
413301210033220
5231342342044
620535353120
73142446060
oct761441750
9302381753
10130434024
1167699016
12378227a0
132103b1c6
14134743a0
15b6b71b9
hex7c643e8

130434024 has 64 divisors (see below), whose sum is σ = 380620800. Its totient is φ = 36471744.

The previous prime is 130433999. The next prime is 130434041. The reversal of 130434024 is 420434031.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 364 + ... + 16155.

It is an arithmetic number, because the mean of its divisors is an integer number (5947200).

Almost surely, 2130434024 is an apocalyptic number.

130434024 is a gapful number since it is divisible by the number (14) 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 130434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190310400).

130434024 is an abundant number, since it is smaller than the sum of its proper divisors (250186776).

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

130434024 is a wasteful number, since it uses less digits than its factorization.

130434024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16582 (or 16578 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 130434024 is about 11420.7716026545. The cubic root of 130434024 is about 507.1428391268.

Adding to 130434024 its reverse (420434031), we get a palindrome (550868055).

The spelling of 130434024 in words is "one hundred thirty million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 16519 33038 49557 66076 99114 115633 132152 198228 231266 346899 396456 462532 693798 776393 925064 1387596 1552786 2329179 2775192 3105572 4658358 5434751 6211144 9316716 10869502 16304253 18633432 21739004 32608506 43478008 65217012 130434024