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13439800 = 23521141149
BaseRepresentation
bin110011010001…
…001100111000
3221021210221101
4303101030320
511420033200
61200021144
7222144043
oct63211470
927253841
1013439800
11764a580
1246017b4
132a2745a
141adbc5a
1512a726a
hexcd1338

13439800 has 96 divisors (see below), whose sum is σ = 35154000. Its totient is φ = 4736000.

The previous prime is 13439773. The next prime is 13439807. The reversal of 13439800 is 893431.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13439807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90126 + ... + 90274.

Almost surely, 213439800 is an apocalyptic number.

13439800 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 13439800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577000).

13439800 is an abundant number, since it is smaller than the sum of its proper divisors (21714200).

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

13439800 is a wasteful number, since it uses less digits than its factorization.

13439800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 13439800 is about 3666.0332786269. The cubic root of 13439800 is about 237.7556987551.

The spelling of 13439800 in words is "thirteen million, four hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 149 164 200 205 220 275 298 328 410 440 451 550 596 745 820 902 1025 1100 1192 1490 1639 1640 1804 2050 2200 2255 2980 3278 3608 3725 4100 4510 5960 6109 6556 7450 8195 8200 9020 11275 12218 13112 14900 16390 18040 22550 24436 29800 30545 32780 40975 45100 48872 61090 65560 67199 81950 90200 122180 134398 152725 163900 244360 268796 305450 327800 335995 537592 610900 671990 1221800 1343980 1679975 2687960 3359950 6719900 13439800