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13442560 = 2955989
BaseRepresentation
bin110011010001…
…111000000000
3221021221201121
4303101320000
511420130220
61200042024
7222155065
oct63217000
927257647
1013442560
11765165a
124603314
132a287a1
141adcc6c
1512a7eaa
hexcd1e00

13442560 has 80 divisors (see below), whose sum is σ = 33145200. Its totient is φ = 5226496.

The previous prime is 13442537. The next prime is 13442591. The reversal of 13442560 is 6524431.

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

It is a congruent number.

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, 150996 + ... + 151084.

It is an arithmetic number, because the mean of its divisors is an integer number (414315).

Almost surely, 213442560 is an apocalyptic number.

13442560 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 13442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572600).

13442560 is an abundant number, since it is smaller than the sum of its proper divisors (19702640).

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

13442560 is an frugal number, since it uses more digits than its factorization.

13442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 13442560 is about 3666.4096879645. The cubic root of 13442560 is about 237.7719728270.

Adding to 13442560 its reverse (6524431), we get a palindrome (19966991).

The spelling of 13442560 in words is "thirteen million, four hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 89 118 128 160 178 236 256 295 320 356 445 472 512 590 640 712 890 944 1180 1280 1424 1780 1888 2360 2560 2848 3560 3776 4720 5251 5696 7120 7552 9440 10502 11392 14240 15104 18880 21004 22784 26255 28480 30208 37760 42008 45568 52510 56960 75520 84016 105020 113920 151040 168032 210040 227840 336064 420080 672128 840160 1344256 1680320 2688512 3360640 6721280 13442560