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13130496 = 283241139
BaseRepresentation
bin110010000101…
…101100000000
3220201002122200
4302011230000
511330133441
61145233200
7216415221
oct62055400
926632580
1013130496
117459155
124492800
132949732
141a5b248
1512457b6
hexc85b00

13130496 has 108 divisors (see below), whose sum is σ = 39060840. Its totient is φ = 4239360.

The previous prime is 13130489. The next prime is 13130503. The reversal of 13130496 is 69403131.

It is an interprime number because it is at equal distance from previous prime (13130489) and next prime (13130503).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94395 + ... + 94533.

Almost surely, 213130496 is an apocalyptic number.

13130496 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 13130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530420).

13130496 is an abundant number, since it is smaller than the sum of its proper divisors (25930344).

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

13130496 is a wasteful number, since it uses less digits than its factorization.

13130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13130496 is about 3623.6026272206. The cubic root of 13130496 is about 235.9176194321.

The spelling of 13130496 in words is "thirteen million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 139 144 164 192 246 256 278 288 328 369 384 417 492 556 576 656 738 768 834 984 1112 1152 1251 1312 1476 1668 1968 2224 2304 2502 2624 2952 3336 3936 4448 5004 5248 5699 5904 6672 7872 8896 10008 10496 11398 11808 13344 15744 17097 17792 20016 22796 23616 26688 31488 34194 35584 40032 45592 47232 51291 53376 68388 80064 91184 94464 102582 106752 136776 160128 182368 205164 273552 320256 364736 410328 547104 729472 820656 1094208 1458944 1641312 2188416 3282624 4376832 6565248 13130496