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130754416 = 24131973191
BaseRepresentation
bin1111100101100…
…10011101110000
3100010001000100011
413302302131300
5231433120131
620550304304
73145252132
oct762623560
9303030304
10130754416
1167897801
1237958094
1321120ca0
1413519052
15b72c0b1
hex7cb2770

130754416 has 40 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 60023040.

The previous prime is 130754399. The next prime is 130754543. The reversal of 130754416 is 614457031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39381 + ... + 42571.

Almost surely, 2130754416 is an apocalyptic number.

130754416 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 130754416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

130754416 is an abundant number, since it is smaller than the sum of its proper divisors (143540528).

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

130754416 is a wasteful number, since it uses less digits than its factorization.

130754416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 130754416 is about 11434.7897225966. The cubic root of 130754416 is about 507.5577402010.

The spelling of 130754416 in words is "one hundred thirty million, seven hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 394 788 1576 2561 3152 3191 5122 6382 10244 12764 20488 25528 40976 41483 51056 82966 165932 331864 628627 663728 1257254 2514508 5029016 8172151 10058032 16344302 32688604 65377208 130754416