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1216608 = 253192329
BaseRepresentation
bin100101001000001100000
32021210212120
410221001200
5302412413
642024240
713224651
oct4510140
92253776
101216608
11761068
124a8080
133379b3
14239528
15190723
hex129060

1216608 has 96 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 354816.

The previous prime is 1216603. The next prime is 1216619. The reversal of 1216608 is 8066121.

It is a Cunningham number, because it is equal to 11032-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41938 + ... + 41966.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

21216608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1216608 is an abundant number, since it is smaller than the sum of its proper divisors (2412192).

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

1216608 is a wasteful number, since it uses less digits than its factorization.

1216608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1216608 is about 1102.9995466908. Note that the first 3 decimals coincide. The cubic root of 1216608 is about 106.7538523291.

The spelling of 1216608 in words is "one million, two hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 29 32 38 46 48 57 58 69 76 87 92 96 114 116 138 152 174 184 228 232 276 304 348 368 437 456 464 551 552 608 667 696 736 874 912 928 1102 1104 1311 1334 1392 1653 1748 1824 2001 2204 2208 2622 2668 2784 3306 3496 4002 4408 5244 5336 6612 6992 8004 8816 10488 10672 12673 13224 13984 16008 17632 20976 21344 25346 26448 32016 38019 41952 50692 52896 64032 76038 101384 152076 202768 304152 405536 608304 1216608