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5990040 = 2332572377
BaseRepresentation
bin10110110110011010011000
3102021022210100
4112312122120
53013140130
6332215400
7101625450
oct26663230
912238710
105990040
113421451
12200a560
131319604
14b1cd60
157d4c60
hex5b6698

5990040 has 96 divisors (see below), whose sum is σ = 22258080. Its totient is φ = 1368576.

The previous prime is 5989999. The next prime is 5990081. The reversal of 5990040 is 400995.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5989999) and next prime (5990081).

It is a junction number, because it is equal to n+sod(n) for n = 5989986 and 5990013.

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, 1332 + ... + 3708.

It is an arithmetic number, because the mean of its divisors is an integer number (231855).

Almost surely, 25990040 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 5990040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11129040).

5990040 is an abundant number, since it is smaller than the sum of its proper divisors (16268040).

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

5990040 is a wasteful number, since it uses less digits than its factorization.

5990040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5990040 is about 2447.4558218689. The cubic root of 5990040 is about 181.6114562562.

The spelling of 5990040 in words is "five million, nine hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2377 2520 4754 7131 9508 11885 14262 16639 19016 21393 23770 28524 33278 35655 42786 47540 49917 57048 66556 71310 83195 85572 95080 99834 106965 133112 142620 149751 166390 171144 199668 213930 249585 285240 299502 332780 399336 427860 499170 599004 665560 748755 855720 998340 1198008 1497510 1996680 2995020 5990040