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5816640 = 26357383
BaseRepresentation
bin10110001100000101000000
3101221111221010
4112030011000
52442113030
6324400520
7100304064
oct26140500
911844833
105816640
113313145
121b46140
1312886cb
14ab5aa4
1579d6b0
hex58c140

5816640 has 112 divisors (see below), whose sum is σ = 18946368. Its totient is φ = 1511424.

The previous prime is 5816639. The next prime is 5816647. The reversal of 5816640 is 466185.

5816640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5816598 and 5816607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5816647) 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, 70039 + ... + 70121.

It is an arithmetic number, because the mean of its divisors is an integer number (169164).

Almost surely, 25816640 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 5816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473184).

5816640 is an abundant number, since it is smaller than the sum of its proper divisors (13129728).

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

5816640 is a wasteful number, since it uses less digits than its factorization.

5816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5816640 is about 2411.7711334204. The cubic root of 5816640 is about 179.8418363731.

The spelling of 5816640 in words is "five million, eight hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 83 96 120 146 160 166 192 219 240 249 292 320 332 365 415 438 480 498 584 664 730 830 876 960 996 1095 1168 1245 1328 1460 1660 1752 1992 2190 2336 2490 2656 2920 3320 3504 3984 4380 4672 4980 5312 5840 6059 6640 7008 7968 8760 9960 11680 12118 13280 14016 15936 17520 18177 19920 23360 24236 26560 30295 35040 36354 39840 48472 60590 70080 72708 79680 90885 96944 121180 145416 181770 193888 242360 290832 363540 387776 484720 581664 727080 969440 1163328 1454160 1938880 2908320 5816640