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13092840 = 23365449
BaseRepresentation
bin110001111100…
…011111101000
3220122012000000
4301330133220
511322432330
61144343000
7216200355
oct61743750
926565000
1013092840
117432932
124474a60
132935557
141a4b62c
151239560
hexc7c7e8

13092840 has 112 divisors (see below), whose sum is σ = 44266500. Its totient is φ = 3483648.

The previous prime is 13092829. The next prime is 13092869. The reversal of 13092840 is 4829031.

It can be written as a sum of positive squares in 2 ways, for example, as 13089924 + 2916 = 3618^2 + 54^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28936 + ... + 29384.

Almost surely, 213092840 is an apocalyptic number.

13092840 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 13092840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22133250).

13092840 is an abundant number, since it is smaller than the sum of its proper divisors (31173660).

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

13092840 is an equidigital number, since it uses as much as digits as its factorization.

13092840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13092840 is about 3618.4029626342. The cubic root of 13092840 is about 235.6918798065.

The spelling of 13092840 in words is "thirteen million, ninety-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 449 486 540 648 729 810 898 972 1080 1215 1347 1458 1620 1796 1944 2245 2430 2694 2916 3240 3592 3645 4041 4490 4860 5388 5832 6735 7290 8082 8980 9720 10776 12123 13470 14580 16164 17960 20205 24246 26940 29160 32328 36369 40410 48492 53880 60615 72738 80820 96984 109107 121230 145476 161640 181845 218214 242460 290952 327321 363690 436428 484920 545535 654642 727380 872856 1091070 1309284 1454760 1636605 2182140 2618568 3273210 4364280 6546420 13092840