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13401840 = 2435192939
BaseRepresentation
bin110011000111…
…111011110000
3221012212212110
4303013323300
511412324330
61155125320
7221625264
oct63077360
927185773
1013401840
117624001
1245a3840
132a130aa
141acc0a4
15129adb0
hexcc7ef0

13401840 has 80 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 3384576.

The previous prime is 13401833. The next prime is 13401841. The reversal of 13401840 is 4810431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13401841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3091 + ... + 6029.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 213401840 is an apocalyptic number.

13401840 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 13401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873600).

13401840 is an abundant number, since it is smaller than the sum of its proper divisors (30345360).

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

13401840 is a wasteful number, since it uses less digits than its factorization.

13401840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13401840 is about 3660.8523597654. The cubic root of 13401840 is about 237.5316449062.

It can be divided in two parts, 13401 and 840, that added together give a palindrome (14241).

The spelling of 13401840 in words is "thirteen million, four hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2939 4560 5878 8817 11756 14695 17634 23512 29390 35268 44085 47024 55841 58780 70536 88170 111682 117560 141072 167523 176340 223364 235120 279205 335046 352680 446728 558410 670092 705360 837615 893456 1116820 1340184 1675230 2233640 2680368 3350460 4467280 6700920 13401840