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13642860 = 22357112953
BaseRepresentation
bin110100000010…
…110001101100
3221200010111010
4310002301230
511443032420
61204225220
7223651050
oct64026154
927603433
1013642860
1177790a0
12469b210
132a989ca
141b51c60
1512e74e0
hexd02c6c

13642860 has 96 divisors (see below), whose sum is σ = 47642112. Its totient is φ = 2833920.

The previous prime is 13642859. The next prime is 13642879. The reversal of 13642860 is 6824631.

It is a super-2 number, since 2×136428602 = 372255257959200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3144 + ... + 6096.

It is an arithmetic number, because the mean of its divisors is an integer number (496272).

Almost surely, 213642860 is an apocalyptic number.

13642860 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 13642860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23821056).

13642860 is an abundant number, since it is smaller than the sum of its proper divisors (33999252).

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

13642860 is a wasteful number, since it uses less digits than its factorization.

13642860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13642860 is about 3693.6242364377. The cubic root of 13642860 is about 238.9471239153.

It can be divided in two parts, 1364 and 2860, that added together give a palindrome (4224).

The spelling of 13642860 in words is "thirteen million, six hundred forty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2953 4620 5906 8859 11812 14765 17718 20671 29530 32483 35436 41342 44295 59060 62013 64966 82684 88590 97449 103355 124026 129932 162415 177180 194898 206710 227381 248052 310065 324830 389796 413420 454762 487245 620130 649660 682143 909524 974490 1136905 1240260 1364286 1948980 2273810 2728572 3410715 4547620 6821430 13642860