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13048380 = 22325711021
BaseRepresentation
bin110001110001…
…101000111100
3220112221000100
4301301220330
511320022010
61143401100
7215623632
oct61615074
926487010
1013048380
117402494
124453190
13291b247
141a39352
15122b2c0
hexc71a3c

13048380 has 72 divisors (see below), whose sum is σ = 40176864. Its totient is φ = 3427200.

The previous prime is 13048339. The next prime is 13048403. The reversal of 13048380 is 8384031.

13048380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12270 + ... + 13290.

It is an arithmetic number, because the mean of its divisors is an integer number (558012).

Almost surely, 213048380 is an apocalyptic number.

13048380 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 13048380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088432).

13048380 is an abundant number, since it is smaller than the sum of its proper divisors (27128484).

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

13048380 is a wasteful number, since it uses less digits than its factorization.

13048380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13048380 is about 3612.2541438830. The cubic root of 13048380 is about 235.4247937606.

The spelling of 13048380 in words is "thirteen million, forty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1021 1065 1278 1420 2042 2130 2556 3063 3195 4084 4260 5105 6126 6390 9189 10210 12252 12780 15315 18378 20420 30630 36756 45945 61260 72491 91890 144982 183780 217473 289964 362455 434946 652419 724910 869892 1087365 1304838 1449820 2174730 2609676 3262095 4349460 6524190 13048380