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13445616 = 2431923641
BaseRepresentation
bin110011010010…
…100111110000
3221022002220210
4303102213300
511420224431
61200104120
7222200022
oct63224760
927262823
1013445616
117653988
124605040
132a29cb2
141b00012
1512a8d46
hexcd29f0

13445616 has 80 divisors (see below), whose sum is σ = 38211840. Its totient is φ = 4055040.

The previous prime is 13445587. The next prime is 13445629. The reversal of 13445616 is 61654431.

13445616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20656 + ... + 21296.

It is an arithmetic number, because the mean of its divisors is an integer number (477648).

Almost surely, 213445616 is an apocalyptic number.

13445616 is a gapful number since it is divisible by the number (16) 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 13445616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105920).

13445616 is an abundant number, since it is smaller than the sum of its proper divisors (24766224).

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

13445616 is a wasteful number, since it uses less digits than its factorization.

13445616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 13445616 is about 3666.8264207622. The cubic root of 13445616 is about 237.7899896356.

The spelling of 13445616 in words is "thirteen million, four hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 641 874 912 1104 1282 1311 1748 1923 2564 2622 3496 3846 5128 5244 6992 7692 10256 10488 12179 14743 15384 20976 24358 29486 30768 36537 44229 48716 58972 73074 88458 97432 117944 146148 176916 194864 235888 280117 292296 353832 560234 584592 707664 840351 1120468 1680702 2240936 3361404 4481872 6722808 13445616