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5692320 = 253255967
BaseRepresentation
bin10101101101101110100000
3101201012101200
4111231232200
52424123240
6322001200
766245454
oct25555640
911635350
105692320
1132387a7
121aa6200
131243c4a
14a82664
15776930
hex56dba0

5692320 has 144 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 1469952.

The previous prime is 5692319. The next prime is 5692327. The reversal of 5692320 is 232965.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×56923203 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5692327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84927 + ... + 84993.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 25692320 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 5692320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

5692320 is an abundant number, since it is smaller than the sum of its proper divisors (14356800).

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

5692320 is a wasteful number, since it uses less digits than its factorization.

5692320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5692320 is about 2385.8583361130. The cubic root of 5692320 is about 178.5513351867.

The spelling of 5692320 in words is "five million, six hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 67 72 80 90 96 118 120 134 144 160 177 180 201 236 240 268 288 295 335 354 360 402 472 480 531 536 590 603 670 708 720 804 885 944 1005 1062 1072 1180 1206 1340 1416 1440 1608 1770 1888 2010 2124 2144 2360 2412 2655 2680 2832 3015 3216 3540 3953 4020 4248 4720 4824 5310 5360 5664 6030 6432 7080 7906 8040 8496 9440 9648 10620 10720 11859 12060 14160 15812 16080 16992 19296 19765 21240 23718 24120 28320 31624 32160 35577 39530 42480 47436 48240 59295 63248 71154 79060 84960 94872 96480 118590 126496 142308 158120 177885 189744 237180 284616 316240 355770 379488 474360 569232 632480 711540 948720 1138464 1423080 1897440 2846160 5692320