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1258292130 = 235132131751
BaseRepresentation
bin100101100000000…
…0000001110100010
310020200200212022020
41023000000032202
510034110322010
6324505322310
743116210114
oct11300001642
93220625266
101258292130
11596300557
122b1496396
131708c3c74
14bd1853b4
1575702470
hex4b0003a2

1258292130 has 32 divisors (see below), whose sum is σ = 3022282368. Its totient is φ = 335280000.

The previous prime is 1258292117. The next prime is 1258292137. The reversal of 1258292130 is 312928521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1258292091 and 1258292100.

It is not an unprimeable number, because it can be changed into a prime (1258292137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23755 + ... + 55505.

It is an arithmetic number, because the mean of its divisors is an integer number (94446324).

Almost surely, 21258292130 is an apocalyptic number.

1258292130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1258292130 is an abundant number, since it is smaller than the sum of its proper divisors (1763990238).

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

1258292130 is a wasteful number, since it uses less digits than its factorization.

1258292130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33082.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1258292130 is about 35472.4136477912. The cubic root of 1258292130 is about 1079.5940775612.

The spelling of 1258292130 in words is "one billion, two hundred fifty-eight million, two hundred ninety-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1321 2642 3963 6605 7926 13210 19815 31751 39630 63502 95253 158755 190506 317510 476265 952530 41943071 83886142 125829213 209715355 251658426 419430710 629146065 1258292130