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13801860 = 2233561419
BaseRepresentation
bin110100101001…
…100110000100
3221222012121000
4310221212010
512013124420
61211453300
7225212442
oct64514604
927865530
1013801860
1178775a6
124757230
132b231a7
141b93b92
151329690
hexd29984

13801860 has 96 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 3611520.

The previous prime is 13801849. The next prime is 13801861. The reversal of 13801860 is 6810831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13801861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32731 + ... + 33149.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 213801860 is an apocalyptic number.

13801860 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 13801860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873600).

13801860 is an abundant number, since it is smaller than the sum of its proper divisors (29945340).

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

13801860 is a wasteful number, since it uses less digits than its factorization.

13801860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13801860 is about 3715.0854633507. The cubic root of 13801860 is about 239.8718065390.

It can be divided in two parts, 1380 and 1860, that added together give a triangular number (3240 = T80).

The spelling of 13801860 in words is "thirteen million, eight hundred one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 419 540 549 610 732 838 915 1098 1220 1257 1647 1676 1830 2095 2196 2514 2745 3294 3660 3771 4190 5028 5490 6285 6588 7542 8235 8380 10980 11313 12570 15084 16470 18855 22626 25140 25559 32940 37710 45252 51118 56565 75420 76677 102236 113130 127795 153354 226260 230031 255590 306708 383385 460062 511180 690093 766770 920124 1150155 1380186 1533540 2300310 2760372 3450465 4600620 6900930 13801860