Search a number
-
+
130170736 = 24313741173
BaseRepresentation
bin1111100001000…
…11111101110000
3100001221100200101
413300203331300
5231310430421
620530002144
73140301343
oct760437560
9301840611
10130170736
1167529223
1237716354
1320c78407
141340645a
15b664191
hex7c23f70

130170736 has 80 divisors (see below), whose sum is σ = 275482368. Its totient is φ = 59443200.

The previous prime is 130170727. The next prime is 130170737. The reversal of 130170736 is 637071031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130170737) 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, 752346 + ... + 752518.

Almost surely, 2130170736 is an apocalyptic number.

130170736 is a gapful number since it is divisible by the number (16) 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 130170736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137741184).

130170736 is an abundant number, since it is smaller than the sum of its proper divisors (145311632).

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

130170736 is a wasteful number, since it uses less digits than its factorization.

130170736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 130170736 is about 11409.2390631453. The cubic root of 130170736 is about 506.8013776921.

The spelling of 130170736 in words is "one hundred thirty million, one hundred seventy thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 31 37 41 62 74 82 124 148 164 173 248 296 328 346 496 592 656 692 1147 1271 1384 1517 2294 2542 2768 3034 4588 5084 5363 6068 6401 7093 9176 10168 10726 12136 12802 14186 18352 20336 21452 24272 25604 28372 42904 47027 51208 56744 85808 94054 102416 113488 188108 198431 219883 262441 376216 396862 439766 524882 752432 793724 879532 1049764 1587448 1759064 2099528 3174896 3518128 4199056 8135671 16271342 32542684 65085368 130170736