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13101480 = 2333571733
BaseRepresentation
bin110001111110…
…100110101000
3220122121212000
4301332212220
511323221410
61144451000
7216234510
oct61764650
926577760
1013101480
117439377
124479a60
132939472
141a50840
15123bdc0
hexc7e9a8

13101480 has 128 divisors (see below), whose sum is σ = 49939200. Its totient is φ = 2992896.

The previous prime is 13101479. The next prime is 13101521. The reversal of 13101480 is 8410131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6694 + ... + 8426.

It is an arithmetic number, because the mean of its divisors is an integer number (390150).

Almost surely, 213101480 is an apocalyptic number.

13101480 is a gapful number since it is divisible by the number (10) 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 13101480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969600).

13101480 is an abundant number, since it is smaller than the sum of its proper divisors (36837720).

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

13101480 is a wasteful number, since it uses less digits than its factorization.

13101480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13101480 is about 3619.5966626131. The cubic root of 13101480 is about 235.7437129731.

The spelling of 13101480 in words is "thirteen million, one hundred one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1733 1890 2520 3466 3780 5199 6932 7560 8665 10398 12131 13864 15597 17330 20796 24262 25995 31194 34660 36393 41592 46791 48524 51990 60655 62388 69320 72786 77985 93582 97048 103980 109179 121310 124776 145572 155970 181965 187164 207960 218358 233955 242620 291144 311940 327537 363930 374328 436716 467910 485240 545895 623880 655074 727860 873432 935820 1091790 1310148 1455720 1637685 1871640 2183580 2620296 3275370 4367160 6550740 13101480