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13097400 = 2335283263
BaseRepresentation
bin110001111101…
…100110111000
3220122102020220
4301331212320
511323104100
61144420040
7216216561
oct61754670
926572226
1013097400
1174362a8
124477620
132937654
141a4d168
15123aaa0
hexc7d9b8

13097400 has 96 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3437440.

The previous prime is 13097389. The next prime is 13097401. The reversal of 13097400 is 479031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13097401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49669 + ... + 49931.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 213097400 is an apocalyptic number.

13097400 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 13097400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

13097400 is an abundant number, since it is smaller than the sum of its proper divisors (28149960).

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

13097400 is a wasteful number, since it uses less digits than its factorization.

13097400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13097400 is about 3619.0330200207. The cubic root of 13097400 is about 235.7192390406.

The spelling of 13097400 in words is "thirteen million, ninety-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 263 300 332 415 498 526 600 664 789 830 996 1052 1245 1315 1578 1660 1992 2075 2104 2490 2630 3156 3320 3945 4150 4980 5260 6225 6312 6575 7890 8300 9960 10520 12450 13150 15780 16600 19725 21829 24900 26300 31560 39450 43658 49800 52600 65487 78900 87316 109145 130974 157800 174632 218290 261948 327435 436580 523896 545725 654870 873160 1091450 1309740 1637175 2182900 2619480 3274350 4365800 6548700 13097400