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130895296 = 2671571861
BaseRepresentation
bin1111100110101…
…00110111000000
3100010022011120221
413303110313000
5232002122141
620553312424
73146406640
oct763246700
9303264527
10130895296
1167983634
1237a05714
132117014c
1413554520
15b758bd1
hex7cd4dc0

130895296 has 56 divisors (see below), whose sum is σ = 298903136. Its totient is φ = 55710720.

The previous prime is 130895273. The next prime is 130895309. The reversal of 130895296 is 692598031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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, 69406 + ... + 71266.

It is an arithmetic number, because the mean of its divisors is an integer number (5337556).

Almost surely, 2130895296 is an apocalyptic number.

130895296 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 130895296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149451568).

130895296 is an abundant number, since it is smaller than the sum of its proper divisors (168007840).

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

130895296 is a wasteful number, since it uses less digits than its factorization.

130895296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 130895296 is about 11440.9482124516. The cubic root of 130895296 is about 507.7399623935.

The spelling of 130895296 in words is "one hundred thirty million, eight hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 157 224 314 448 628 1099 1256 1861 2198 2512 3722 4396 5024 7444 8792 10048 13027 14888 17584 26054 29776 35168 52108 59552 70336 104216 119104 208432 292177 416864 584354 833728 1168708 2045239 2337416 4090478 4674832 8180956 9349664 16361912 18699328 32723824 65447648 130895296