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120211264 = 2629239271
BaseRepresentation
bin1110010101001…
…00011101000000
322101012100212001
413022210131000
5221233230024
615532313344
72656531105
oct712443500
9271170761
10120211264
1161946558
1234312854
131bb9c134
1411d72aac
15a848244
hex72a4740

120211264 has 56 divisors (see below), whose sum is σ = 248716800. Its totient is φ = 57576960.

The previous prime is 120211253. The next prime is 120211279. The reversal of 120211264 is 462112021.

It is a congruent number.

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, 443449 + ... + 443719.

Almost surely, 2120211264 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 120211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124358400).

120211264 is an abundant number, since it is smaller than the sum of its proper divisors (128505536).

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

120211264 is a wasteful number, since it uses less digits than its factorization.

120211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 120211264 is about 10964.0897478997. The cubic root of 120211264 is about 493.5317017370.

Adding to 120211264 its reverse (462112021), we get a palindrome (582323285).

The spelling of 120211264 in words is "one hundred twenty million, two hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 239 271 464 478 542 928 956 1084 1856 1912 2168 3824 4336 6931 7648 7859 8672 13862 15296 15718 17344 27724 31436 55448 62872 64769 110896 125744 129538 221792 251488 259076 443584 502976 518152 1036304 1878301 2072608 3756602 4145216 7513204 15026408 30052816 60105632 120211264