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130742064 = 24321575783
BaseRepresentation
bin1111100101011…
…11011100110000
3100010000101101200
413302233130300
5231432221224
620550131200
73145201125
oct762573460
9303011350
10130742064
11678894a2
1237950b00
132111848b
141351474c
15b7285c9
hex7caf730

130742064 has 60 divisors (see below), whose sum is σ = 368290416. Its totient is φ = 43295616.

The previous prime is 130742057. The next prime is 130742069. The reversal of 130742064 is 460247031.

It is not an unprimeable number, because it can be changed into a prime (130742069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19717 + ... + 25499.

Almost surely, 2130742064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184145208).

130742064 is an abundant number, since it is smaller than the sum of its proper divisors (237548352).

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

130742064 is a wasteful number, since it uses less digits than its factorization.

130742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 130742064 is about 11434.2496037125. The cubic root of 130742064 is about 507.5417571828.

Adding to 130742064 its reverse (460247031), we get a palindrome (590989095).

The spelling of 130742064 in words is "one hundred thirty million, seven hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 5783 7536 11304 11566 17349 22608 23132 34698 46264 52047 69396 92528 104094 138792 208188 277584 416376 832752 907931 1815862 2723793 3631724 5447586 7263448 8171379 10895172 14526896 16342758 21790344 32685516 43580688 65371032 130742064