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1307290192 = 24132321092
BaseRepresentation
bin100110111101011…
…1010101001010000
310101002220020000021
41031322322221100
510134131241232
6333415433224
744252532445
oct11572725120
93332806007
101307290192
11610a2751a
12305985814
1317aabb2c0
14c589b9cc
1579b80397
hex4debaa50

1307290192 has 90 divisors (see below), whose sum is σ = 2877863982. Its totient is φ = 571836672.

The previous prime is 1307290177. The next prime is 1307290213. The reversal of 1307290192 is 2910927031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 198133776 + 1109156416 = 14076^2 + 33304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11993434 + ... + 11993542.

Almost surely, 21307290192 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 1307290192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438931991).

1307290192 is an abundant number, since it is smaller than the sum of its proper divisors (1570573790).

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

1307290192 is a wasteful number, since it uses less digits than its factorization.

1307290192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 1307290192 is about 36156.4681903529. The cubic root of 1307290192 is about 1093.4292002329.

The spelling of 1307290192 in words is "one billion, three hundred seven million, two hundred ninety thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 109 184 208 218 299 368 436 529 598 872 1058 1196 1417 1744 2116 2392 2507 2834 4232 4784 5014 5668 6877 8464 10028 11336 11881 13754 20056 22672 23762 27508 32591 40112 47524 55016 57661 65182 95048 110032 115322 130364 154453 190096 230644 260728 273263 308906 461288 521456 546526 617812 749593 922576 1093052 1235624 1499186 2186104 2471248 2998372 3552419 4372208 5996744 6285049 7104838 11993488 12570098 14209676 25140196 28419352 50280392 56838704 81705637 100560784 163411274 326822548 653645096 1307290192