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13892010 = 2351124389
BaseRepresentation
bin110100111111…
…100110101010
3222010210020220
4310333212222
512024021020
61213430510
7226036326
oct64774652
928123226
1013892010
117929300
12479b436
132b55232
141bb8986
151346240
hexd3f9aa

13892010 has 96 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 3252480.

The previous prime is 13891993. The next prime is 13892017. The reversal of 13892010 is 1029831.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13892017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156046 + ... + 156134.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 213892010 is an apocalyptic number.

13892010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13892010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

13892010 is an abundant number, since it is smaller than the sum of its proper divisors (24028950).

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

13892010 is a wasteful number, since it uses less digits than its factorization.

13892010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 13892010 is about 3727.1986799740. The cubic root of 13892010 is about 240.3929327206.

The spelling of 13892010 in words is "thirteen million, eight hundred ninety-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 89 110 121 129 165 178 215 242 258 267 330 363 430 445 473 534 605 645 726 890 946 979 1210 1290 1335 1419 1815 1958 2365 2670 2838 2937 3630 3827 4730 4895 5203 5874 7095 7654 9790 10406 10769 11481 14190 14685 15609 19135 21538 22962 26015 29370 31218 32307 38270 42097 52030 53845 57405 64614 78045 84194 107690 114810 126291 156090 161535 210485 252582 323070 420970 463067 631455 926134 1262910 1389201 2315335 2778402 4630670 6946005 13892010