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5327040 = 263531179
BaseRepresentation
bin10100010100100011000000
3101000122022210
4110110203000
52330431130
6310102120
763164505
oct24244300
911018283
105327040
113009314
12194a940
1311468c4
149c94ac
157035b0
hex5148c0

5327040 has 112 divisors (see below), whose sum is σ = 17556480. Its totient is φ = 1367040.

The previous prime is 5327017. The next prime is 5327041. The reversal of 5327040 is 407235.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5326998 and 5327016.

It is not an unprimeable number, because it can be changed into a prime (5327041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29671 + ... + 29849.

Almost surely, 25327040 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 5327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

5327040 is an abundant number, since it is smaller than the sum of its proper divisors (12229440).

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

5327040 is a wasteful number, since it uses less digits than its factorization.

5327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 5327040 is about 2308.0381279346. The cubic root of 5327040 is about 174.6473442358.

The spelling of 5327040 in words is "five million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 179 186 192 240 248 310 320 358 372 465 480 496 537 620 716 744 895 930 960 992 1074 1240 1432 1488 1790 1860 1984 2148 2480 2685 2864 2976 3580 3720 4296 4960 5370 5549 5728 5952 7160 7440 8592 9920 10740 11098 11456 14320 14880 16647 17184 21480 22196 27745 28640 29760 33294 34368 42960 44392 55490 57280 66588 83235 85920 88784 110980 133176 166470 171840 177568 221960 266352 332940 355136 443920 532704 665880 887840 1065408 1331760 1775680 2663520 5327040