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5965140 = 2235372687
BaseRepresentation
bin10110110000010101010100
3102020001122010
4112300111110
53011341030
6331504220
7101463036
oct26602524
912201563
105965140
113404775
121bb8070
13130b18c
14b13c56
157cc6b0
hex5b0554

5965140 has 48 divisors (see below), whose sum is σ = 17160192. Its totient is φ = 1547136.

The previous prime is 5965139. The next prime is 5965163. The reversal of 5965140 is 415695.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5965098 and 5965107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (357504).

Almost surely, 25965140 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 5965140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580096).

5965140 is an abundant number, since it is smaller than the sum of its proper divisors (11195052).

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

5965140 is a wasteful number, since it uses less digits than its factorization.

5965140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5965140 is about 2442.3636092933. The cubic root of 5965140 is about 181.3594598433.

It can be divided in two parts, 5965 and 140, that added together give a triangular number (6105 = T110).

The spelling of 5965140 in words is "five million, nine hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2687 5374 8061 10748 13435 16122 26870 32244 40305 53740 80610 99419 161220 198838 298257 397676 497095 596514 994190 1193028 1491285 1988380 2982570 5965140