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93311980 = 225171272161
BaseRepresentation
bin1011000111111…
…01001111101100
320111120201222021
411203331033230
5142341440410
613131555524
72212065406
oct543751754
9214521867
1093311980
1148743743
12272bbba4
13164415b8
14c56db76
1582d2eda
hex58fd3ec

93311980 has 48 divisors (see below), whose sum is σ = 209212416. Its totient is φ = 34836480.

The previous prime is 93311971. The next prime is 93312001. The reversal of 93311980 is 8911339.

It is a super-2 number, since 2×933119802 = 17414251223040800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42100 + ... + 44260.

It is an arithmetic number, because the mean of its divisors is an integer number (4358592).

Almost surely, 293311980 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 93311980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104606208).

93311980 is an abundant number, since it is smaller than the sum of its proper divisors (115900436).

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

93311980 is a wasteful number, since it uses less digits than its factorization.

93311980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 93311980 is about 9659.8126275824. The cubic root of 93311980 is about 453.5715455568.

It can be divided in two parts, 9331 and 1980, that added together give a palindrome (11311).

The spelling of 93311980 in words is "ninety-three million, three hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 508 635 1270 2159 2161 2540 4318 4322 8636 8644 10795 10805 21590 21610 36737 43180 43220 73474 146948 183685 274447 367370 548894 734740 1097788 1372235 2744470 4665599 5488940 9331198 18662396 23327995 46655990 93311980