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13650420 = 2235724643
BaseRepresentation
bin110100000100…
…100111110100
3221200111212010
4310010213310
511443303140
61204324220
7224012100
oct64044764
927614763
1013650420
117783843
1246a3670
132a9c294
141b54900
1512e9880
hexd049f4

13650420 has 72 divisors (see below), whose sum is σ = 44470944. Its totient is φ = 3119424.

The previous prime is 13650409. The next prime is 13650421. The reversal of 13650420 is 2405631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13650421) 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, 619 + ... + 5261.

It is an arithmetic number, because the mean of its divisors is an integer number (617652).

Almost surely, 213650420 is an apocalyptic number.

13650420 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 13650420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22235472).

13650420 is an abundant number, since it is smaller than the sum of its proper divisors (30820524).

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

13650420 is a wasteful number, since it uses less digits than its factorization.

13650420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13650420 is about 3694.6474798010. The cubic root of 13650420 is about 238.9912521672.

The spelling of 13650420 in words is "thirteen million, six hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4643 9286 13929 18572 23215 27858 32501 46430 55716 65002 69645 92860 97503 130004 139290 162505 195006 227507 278580 325010 390012 455014 487515 650020 682521 910028 975030 1137535 1365042 1950060 2275070 2730084 3412605 4550140 6825210 13650420