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13094900 = 22527131439
BaseRepresentation
bin110001111100…
…111111110100
3220122021211022
4301330333310
511323014100
61144400312
7216206360
oct61747764
926567738
1013094900
117434435
124476098
132936480
141a4c2a0
151239e85
hexc7cff4

13094900 has 72 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 4141440.

The previous prime is 13094897. The next prime is 13094909. The reversal of 13094900 is 949031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13094900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13094909) 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, 8381 + ... + 9819.

It is an arithmetic number, because the mean of its divisors is an integer number (486080).

Almost surely, 213094900 is an apocalyptic number.

13094900 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 13094900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

13094900 is an abundant number, since it is smaller than the sum of its proper divisors (21902860).

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

13094900 is a wasteful number, since it uses less digits than its factorization.

13094900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 13094900 is about 3618.6876074069. The cubic root of 13094900 is about 235.7042402470.

The spelling of 13094900 in words is "thirteen million, ninety-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1439 1820 2275 2878 4550 5756 7195 9100 10073 14390 18707 20146 28780 35975 37414 40292 50365 71950 74828 93535 100730 130949 143900 187070 201460 251825 261898 374140 467675 503650 523796 654745 935350 1007300 1309490 1870700 2618980 3273725 6547450 13094900