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216403104 = 2532977731
BaseRepresentation
bin11001110011000…
…00110010100000
3120002012102020210
430321200302200
5420344344404
633250134120
75235252561
oct1471406240
9502172223
10216403104
11101176945
1260581340
1335aab498
1420a52168
1513ee9689
hexce60ca0

216403104 has 48 divisors (see below), whose sum is σ = 587653920. Its totient is φ = 69646080.

The previous prime is 216403097. The next prime is 216403139. The reversal of 216403104 is 401304612.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36082 + ... + 41649.

It is an arithmetic number, because the mean of its divisors is an integer number (12242790).

Almost surely, 2216403104 is an apocalyptic number.

216403104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216403104 is an abundant number, since it is smaller than the sum of its proper divisors (371250816).

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

216403104 is a wasteful number, since it uses less digits than its factorization.

216403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77773 (or 77765 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 216403104 is about 14710.6459409504. The cubic root of 216403104 is about 600.3730124992.

Adding to 216403104 its reverse (401304612), we get a palindrome (617707716).

The spelling of 216403104 in words is "two hundred sixteen million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 77731 155462 233193 310924 466386 621848 932772 1243696 1865544 2254199 2487392 3731088 4508398 6762597 7462176 9016796 13525194 18033592 27050388 36067184 54100776 72134368 108201552 216403104