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13142720 = 26567613
BaseRepresentation
bin110010001000…
…101011000000
3220201201102102
4302020223000
511331031340
61145405532
7216465653
oct62105300
926651372
1013142720
117467358
1244998a8
132952176
141a6189a
151249215
hexc88ac0

13142720 has 56 divisors (see below), whose sum is σ = 31815024. Its totient is φ = 5170176.

The previous prime is 13142711. The next prime is 13142743. The reversal of 13142720 is 2724131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13142692 and 13142701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21134 + ... + 21746.

Almost surely, 213142720 is an apocalyptic number.

13142720 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 13142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907512).

13142720 is an abundant number, since it is smaller than the sum of its proper divisors (18672304).

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

13142720 is an equidigital number, since it uses as much as digits as its factorization.

13142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 13142720 is about 3625.2889540008. The cubic root of 13142720 is about 235.9908068812.

Adding to 13142720 its reverse (2724131), we get a palindrome (15866851).

The spelling of 13142720 in words is "thirteen million, one hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 613 670 1072 1226 1340 2144 2452 2680 3065 4288 4904 5360 6130 9808 10720 12260 19616 21440 24520 39232 41071 49040 82142 98080 164284 196160 205355 328568 410710 657136 821420 1314272 1642840 2628544 3285680 6571360 13142720