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13307800 = 23521123263
BaseRepresentation
bin110010110000…
…111110011000
3221001002212111
4302300332120
511401322200
61153122104
7221054152
oct62607630
927032774
1013307800
11756a390
124559334
1329ac34c
141aa5ad2
15127d0ba
hexcb0f98

13307800 has 96 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 4611200.

The previous prime is 13307761. The next prime is 13307803. The reversal of 13307800 is 870331.

13307800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13307803) 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, 50469 + ... + 50731.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 213307800 is an apocalyptic number.

13307800 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 13307800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

13307800 is an abundant number, since it is smaller than the sum of its proper divisors (22047080).

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

13307800 is a wasteful number, since it uses less digits than its factorization.

13307800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13307800 is about 3647.9857455862. The cubic root of 13307800 is about 236.9747580041.

The spelling of 13307800 in words is "thirteen million, three hundred seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 263 275 440 460 506 526 550 575 920 1012 1052 1100 1150 1265 1315 2024 2104 2200 2300 2530 2630 2893 4600 5060 5260 5786 6049 6325 6575 10120 10520 11572 12098 12650 13150 14465 23144 24196 25300 26300 28930 30245 48392 50600 52600 57860 60490 66539 72325 115720 120980 133078 144650 151225 241960 266156 289300 302450 332695 532312 578600 604900 665390 1209800 1330780 1663475 2661560 3326950 6653900 13307800