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13650416 = 2413293173
BaseRepresentation
bin110100000100…
…100111110000
3221200111211222
4310010213300
511443303131
61204324212
7224012063
oct64044760
927614758
1013650416
11778383a
1246a3668
132a9c290
141b548da
1512e987b
hexd049f0

13650416 has 80 divisors (see below), whose sum is σ = 30831360. Its totient is φ = 5806080.

The previous prime is 13650409. The next prime is 13650421. The reversal of 13650416 is 61405631.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 186956 + ... + 187028.

It is an arithmetic number, because the mean of its divisors is an integer number (385392).

Almost surely, 213650416 is an apocalyptic number.

13650416 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 13650416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415680).

13650416 is an abundant number, since it is smaller than the sum of its proper divisors (17180944).

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

13650416 is a wasteful number, since it uses less digits than its factorization.

13650416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13650416 is about 3694.6469384773. The cubic root of 13650416 is about 238.9912288233.

The spelling of 13650416 in words is "thirteen million, six hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 29 31 52 58 62 73 104 116 124 146 208 232 248 292 377 403 464 496 584 754 806 899 949 1168 1508 1612 1798 1898 2117 2263 3016 3224 3596 3796 4234 4526 6032 6448 7192 7592 8468 9052 11687 14384 15184 16936 18104 23374 27521 29419 33872 36208 46748 55042 58838 65627 93496 110084 117676 131254 186992 220168 235352 262508 440336 470704 525016 853151 1050032 1706302 3412604 6825208 13650416