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5981416 = 2371761103
BaseRepresentation
bin10110110100010011101000
3102020212221221
4112310103220
53012401131
6332111424
7101561350
oct26642350
912225857
105981416
113415a21
122005574
1313156cc
14b19b60
157d2411
hex5b44e8

5981416 has 64 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 2350080.

The previous prime is 5981411. The next prime is 5981431. The reversal of 5981416 is 6141895.

5981416 = T288 + T289 + ... + T390.

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

It is not an unprimeable number, because it can be changed into a prime (5981411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58021 + ... + 58123.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 25981416 is an apocalyptic number.

5981416 is a gapful number since it is divisible by the number (56) 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 5981416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

5981416 is an abundant number, since it is smaller than the sum of its proper divisors (7946264).

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

5981416 is a wasteful number, since it uses less digits than its factorization.

5981416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 5981416 is about 2445.6933577209. The cubic root of 5981416 is about 181.5242576487.

The spelling of 5981416 in words is "five million, nine hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 61 68 103 119 122 136 206 238 244 412 427 476 488 721 824 854 952 1037 1442 1708 1751 2074 2884 3416 3502 4148 5768 6283 7004 7259 8296 12257 12566 14008 14518 24514 25132 29036 43981 49028 50264 58072 87962 98056 106811 175924 213622 351848 427244 747677 854488 1495354 2990708 5981416