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5958990 = 232573907
BaseRepresentation
bin10110101110110101001110
3102012202012100
4112232311032
53011141430
6331415530
7101436102
oct26566516
912182170
105958990
113400094
121bb45a6
13130843b
14b11902
157ca960
hex5aed4e

5958990 has 48 divisors (see below), whose sum is σ = 15722928. Its totient is φ = 1565568.

The previous prime is 5958971. The next prime is 5959039. The reversal of 5958990 is 998595.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6117 + ... + 7023.

It is an arithmetic number, because the mean of its divisors is an integer number (327561).

Almost surely, 25958990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5958990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861464).

5958990 is an abundant number, since it is smaller than the sum of its proper divisors (9763938).

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

5958990 is a wasteful number, since it uses less digits than its factorization.

5958990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The square root of 5958990 is about 2441.1042583225. The cubic root of 5958990 is about 181.2971118120.

It can be divided in two parts, 59 and 58990, that added together give a 10-th power (59049 = 310).

The spelling of 5958990 in words is "five million, nine hundred fifty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 907 1095 1314 1814 2190 2721 3285 4535 5442 6570 8163 9070 13605 16326 27210 40815 66211 81630 132422 198633 331055 397266 595899 662110 993165 1191798 1986330 2979495 5958990