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5852340 = 22325134161
BaseRepresentation
bin10110010100110010110100
3102000022220100
4112110302310
52444233330
6325234100
7100513134
oct26246264
912008810
105852340
113337a4a
121b62930
13129ba30
14ac4ac4
157a9060
hex594cb4

5852340 has 144 divisors (see below), whose sum is σ = 19904976. Its totient is φ = 1382400.

The previous prime is 5852333. The next prime is 5852347. The reversal of 5852340 is 432585.

It is an interprime number because it is at equal distance from previous prime (5852333) and next prime (5852347).

It can be written as a sum of positive squares in 8 ways, for example, as 3305124 + 2547216 = 1818^2 + 1596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5852347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95910 + ... + 95970.

It is an arithmetic number, because the mean of its divisors is an integer number (138229).

Almost surely, 25852340 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 5852340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952488).

5852340 is an abundant number, since it is smaller than the sum of its proper divisors (14052636).

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

5852340 is a wasteful number, since it uses less digits than its factorization.

5852340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5852340 is about 2419.1610115906. The cubic root of 5852340 is about 180.2090164549.

It can be divided in two parts, 585 and 2340, that multiplied together give a square (1368900 = 11702).

The spelling of 5852340 in words is "five million, eight hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 61 65 78 82 90 117 122 123 130 156 164 180 183 195 205 234 244 246 260 305 366 369 390 410 468 492 533 549 585 610 615 732 738 780 793 820 915 1066 1098 1170 1220 1230 1476 1586 1599 1830 1845 2132 2196 2340 2379 2460 2501 2665 2745 3172 3198 3660 3690 3965 4758 4797 5002 5330 5490 6396 7137 7380 7503 7930 7995 9516 9594 10004 10660 10980 11895 12505 14274 15006 15860 15990 19188 22509 23790 23985 25010 28548 30012 31980 32513 35685 37515 45018 47580 47970 50020 65026 71370 75030 90036 95940 97539 112545 130052 142740 150060 162565 195078 225090 292617 325130 390156 450180 487695 585234 650260 975390 1170468 1463085 1950780 2926170 5852340