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5684640 = 253513911
BaseRepresentation
bin10101101011110110100000
3101200210212020
4111223312200
52423402030
6321501440
766214203
oct25536640
911623766
105684640
113232a55
121aa1880
1312405c0
14a7d93a
15774510
hex56bda0

5684640 has 96 divisors (see below), whose sum is σ = 19305216. Its totient is φ = 1397760.

The previous prime is 5684639. The next prime is 5684641. The reversal of 5684640 is 464865.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5684639) and next prime (5684641).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5684641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5785 + ... + 6695.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 25684640 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 5684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608).

5684640 is an abundant number, since it is smaller than the sum of its proper divisors (13620576).

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

5684640 is a wasteful number, since it uses less digits than its factorization.

5684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5684640 is about 2384.2483092161. The cubic root of 5684640 is about 178.4709993765.

The spelling of 5684640 in words is "five million, six hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 911 1040 1248 1560 1822 2080 2733 3120 3644 4555 5466 6240 7288 9110 10932 11843 13665 14576 18220 21864 23686 27330 29152 35529 36440 43728 47372 54660 59215 71058 72880 87456 94744 109320 118430 142116 145760 177645 189488 218640 236860 284232 355290 378976 437280 473720 568464 710580 947440 1136928 1421160 1894880 2842320 5684640