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130656448 = 2613532963
BaseRepresentation
bin1111100100110…
…10100011000000
3100002212000221201
413302122203000
5231422001243
620544230544
73144363406
oct762324300
9302760851
10130656448
116783013a
123790b454
13210b8510
14134d1476
15b70d04d
hex7c9a8c0

130656448 has 56 divisors (see below), whose sum is σ = 284579568. Its totient is φ = 59145216.

The previous prime is 130656443. The next prime is 130656469. The reversal of 130656448 is 844656031.

It is a happy number.

It is a super-2 number, since 2×1306564482 = 34142214807953408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130656443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42615 + ... + 45577.

It is an arithmetic number, because the mean of its divisors is an integer number (5081778).

Almost surely, 2130656448 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 130656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142289784).

130656448 is an abundant number, since it is smaller than the sum of its proper divisors (153923120).

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

130656448 is a wasteful number, since it uses less digits than its factorization.

130656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 130656448 is about 11430.5051506922. The cubic root of 130656448 is about 507.4309456546.

The spelling of 130656448 in words is "one hundred thirty million, six hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 424 689 832 848 1378 1696 2756 2963 3392 5512 5926 11024 11852 22048 23704 38519 44096 47408 77038 94816 154076 157039 189632 308152 314078 616304 628156 1232608 1256312 2041507 2465216 2512624 4083014 5025248 8166028 10050496 16332056 32664112 65328224 130656448