Search a number
-
+
130087296 = 273412547
BaseRepresentation
bin1111100000011…
…11100110000000
3100001210010020000
413300033212000
5231300243141
620524120000
73136503153
oct760174600
9301703200
10130087296
1167481569
1237696000
1320c49441
14133c3c9a
15b6495b6
hex7c0f980

130087296 has 80 divisors (see below), whose sum is σ = 387168540. Its totient is φ = 43358976.

The previous prime is 130087291. The next prime is 130087297. The reversal of 130087296 is 692780031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130087296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130087291) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4095 + ... + 16641.

Almost surely, 2130087296 is an apocalyptic number.

130087296 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 130087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193584270).

130087296 is an abundant number, since it is smaller than the sum of its proper divisors (257081244).

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

130087296 is an equidigital number, since it uses as much as digits as its factorization.

130087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12573 (or 12552 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130087296 is about 11405.5817913862. The cubic root of 130087296 is about 506.6930672608.

The spelling of 130087296 in words is "one hundred thirty million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 12547 25094 37641 50188 75282 100376 112923 150564 200752 225846 301128 338769 401504 451692 602256 677538 803008 903384 1016307 1204512 1355076 1606016 1806768 2032614 2409024 2710152 3613536 4065228 4818048 5420304 7227072 8130456 10840608 14454144 16260912 21681216 32521824 43362432 65043648 130087296