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5726640 = 2435107223
BaseRepresentation
bin10101110110000110110000
3101202221110210
4111312012300
52431223030
6322424120
766450513
oct25660660
911687423
105726640
113261567
121b02040
13125675a
14a90d7a
15781bb0
hex5761b0

5726640 has 80 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 1506048.

The previous prime is 5726639. The next prime is 5726663. The reversal of 5726640 is 466275.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 5726598 and 5726607.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25569 + ... + 25791.

Almost surely, 25726640 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 5726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

5726640 is an abundant number, since it is smaller than the sum of its proper divisors (12272208).

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

5726640 is a wasteful number, since it uses less digits than its factorization.

5726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5726640 is about 2393.0399077324. The cubic root of 5726640 is about 178.9094555752.

The spelling of 5726640 in words is "five million, seven hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 223 240 321 428 446 535 642 669 856 892 1070 1115 1284 1338 1605 1712 1784 2140 2230 2568 2676 3210 3345 3568 4280 4460 5136 5352 6420 6690 8560 8920 10704 12840 13380 17840 23861 25680 26760 47722 53520 71583 95444 119305 143166 190888 238610 286332 357915 381776 477220 572664 715830 954440 1145328 1431660 1908880 2863320 5726640