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13420620 = 2233529857
BaseRepresentation
bin110011001100…
…100001001100
3221020211122000
4303030201030
511413424440
61155352300
7222034113
oct63144114
927224560
1013420620
117637124
1245b2690
132a1b7c5
141ad4c7a
1512a1730
hexccc84c

13420620 has 96 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3451392.

The previous prime is 13420619. The next prime is 13420637. The reversal of 13420620 is 2602431.

It is a happy number.

13420620 is a `hidden beast` number, since 1 + 3 + 42 + 0 + 620 = 666.

It is a super-2 number, since 2×134206202 = 360226082368800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13420593 and 13420602.

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, 15232 + ... + 16088.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 213420620 is an apocalyptic number.

13420620 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 13420620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

13420620 is an abundant number, since it is smaller than the sum of its proper divisors (29822580).

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

13420620 is a wasteful number, since it uses less digits than its factorization.

13420620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13420620 is about 3663.4164382445. The cubic root of 13420620 is about 237.6425441621.

The spelling of 13420620 in words is "thirteen million, four hundred twenty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 857 870 1044 1305 1566 1714 1740 2571 2610 3132 3428 3915 4285 5142 5220 7713 7830 8570 10284 12855 15426 15660 17140 23139 24853 25710 30852 38565 46278 49706 51420 74559 77130 92556 99412 115695 124265 149118 154260 223677 231390 248530 298236 372795 447354 462780 497060 671031 745590 894708 1118385 1342062 1491180 2236770 2684124 3355155 4473540 6710310 13420620