[go: up one dir, main page]

Search a number
-
+
5791240 = 2357133743
BaseRepresentation
bin10110000101111000001000
3101220020002101
4112011320020
52440304430
6324043144
7100140040
oct26057010
911806071
105791240
1132a6054
121b334b4
131279c90
14aaa720
15795dca
hex585e08

5791240 has 128 divisors (see below), whose sum is σ = 16853760. Its totient is φ = 1741824.

The previous prime is 5791231. The next prime is 5791241. The reversal of 5791240 is 421975.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5791199 and 5791208.

It is not an unprimeable number, because it can be changed into a prime (5791241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134659 + ... + 134701.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

Almost surely, 25791240 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 5791240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426880).

5791240 is an abundant number, since it is smaller than the sum of its proper divisors (11062520).

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

5791240 is a wasteful number, since it uses less digits than its factorization.

5791240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 5791240 is about 2406.4995325161. The cubic root of 5791240 is about 179.5796776955.

The spelling of 5791240 in words is "five million, seven hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 37 40 43 52 56 65 70 74 86 91 104 130 140 148 172 182 185 215 259 260 280 296 301 344 364 370 430 455 481 518 520 559 602 728 740 860 910 962 1036 1118 1204 1295 1480 1505 1591 1720 1820 1924 2072 2236 2405 2408 2590 2795 3010 3182 3367 3640 3848 3913 4472 4810 5180 5590 6020 6364 6734 7826 7955 9620 10360 11137 11180 12040 12728 13468 15652 15910 16835 19240 19565 20683 22274 22360 26936 31304 31820 33670 39130 41366 44548 55685 63640 67340 78260 82732 89096 103415 111370 134680 144781 156520 165464 206830 222740 289562 413660 445480 579124 723905 827320 1158248 1447810 2895620 5791240