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5930240 = 28541113
BaseRepresentation
bin10110100111110100000000
3102011021202112
4112213310000
53004231430
6331034452
7101256221
oct26476400
912137675
105930240
113390528
121b9ba28
1312c8324
14b05248
157c2195
hex5a7d00

5930240 has 72 divisors (see below), whose sum is σ = 14680008. Its totient is φ = 2293760.

The previous prime is 5930233. The next prime is 5930279. The reversal of 5930240 is 420395.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 5456896 = 688^2 + 2336^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52424 + ... + 52536.

It is an arithmetic number, because the mean of its divisors is an integer number (203889).

Almost surely, 25930240 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 5930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340004).

5930240 is an abundant number, since it is smaller than the sum of its proper divisors (8749768).

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

5930240 is a wasteful number, since it uses less digits than its factorization.

5930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 5930240 is about 2435.2084099723. The cubic root of 5930240 is about 181.0050770327.

The spelling of 5930240 in words is "five million, nine hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 113 128 160 164 205 226 256 320 328 410 452 565 640 656 820 904 1130 1280 1312 1640 1808 2260 2624 3280 3616 4520 4633 5248 6560 7232 9040 9266 10496 13120 14464 18080 18532 23165 26240 28928 36160 37064 46330 52480 72320 74128 92660 144640 148256 185320 296512 370640 593024 741280 1186048 1482560 2965120 5930240