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5987340 = 22325293137
BaseRepresentation
bin10110110101110000001100
3102021012002100
4112311300030
53013043330
6332155100
7101614542
oct26656014
912235070
105987340
11341a417
122008a90
131318308
14b1bd92
157d4060
hex5b5c0c

5987340 has 144 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 1451520.

The previous prime is 5987339. The next prime is 5987341. The reversal of 5987340 is 437895.

It is an interprime number because it is at equal distance from previous prime (5987339) and next prime (5987341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5987295 and 5987304.

It is not an unprimeable number, because it can be changed into a prime (5987341) 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, 161802 + ... + 161838.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 25987340 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 5987340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959040).

5987340 is an abundant number, since it is smaller than the sum of its proper divisors (13930740).

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

5987340 is a wasteful number, since it uses less digits than its factorization.

5987340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5987340 is about 2446.9041664928. The cubic root of 5987340 is about 181.5841651404.

The spelling of 5987340 in words is "five million, nine hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 31 36 37 45 58 60 62 74 87 90 93 111 116 124 145 148 155 174 180 185 186 222 261 279 290 310 333 348 370 372 435 444 465 522 555 558 580 620 666 740 870 899 930 1044 1073 1110 1116 1147 1305 1332 1395 1665 1740 1798 1860 2146 2220 2294 2610 2697 2790 3219 3330 3441 3596 4292 4495 4588 5220 5365 5394 5580 5735 6438 6660 6882 8091 8990 9657 10323 10730 10788 11470 12876 13485 13764 16095 16182 17205 17980 19314 20646 21460 22940 26970 32190 32364 33263 34410 38628 40455 41292 48285 51615 53940 64380 66526 68820 80910 96570 99789 103230 133052 161820 166315 193140 199578 206460 299367 332630 399156 498945 598734 665260 997890 1197468 1496835 1995780 2993670 5987340