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5693280 = 253529409
BaseRepresentation
bin10101101101111101100000
3101201020201020
4111231331200
52424141110
6322005440
766251325
oct25557540
911636636
105693280
11323949a
121aa6880
131244508
14a82b4c
15776d70
hex56df60

5693280 has 96 divisors (see below), whose sum is σ = 18597600. Its totient is φ = 1462272.

The previous prime is 5693263. The next prime is 5693287. The reversal of 5693280 is 823965.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5693287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13716 + ... + 14124.

It is an arithmetic number, because the mean of its divisors is an integer number (193725).

Almost surely, 25693280 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 5693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298800).

5693280 is an abundant number, since it is smaller than the sum of its proper divisors (12904320).

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

5693280 is a wasteful number, since it uses less digits than its factorization.

5693280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5693280 is about 2386.0595130885. The cubic root of 5693280 is about 178.5613720813.

The spelling of 5693280 in words is "five million, six hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 409 435 464 480 580 696 818 870 928 1160 1227 1392 1636 1740 2045 2320 2454 2784 3272 3480 4090 4640 4908 6135 6544 6960 8180 9816 11861 12270 13088 13920 16360 19632 23722 24540 32720 35583 39264 47444 49080 59305 65440 71166 94888 98160 118610 142332 177915 189776 196320 237220 284664 355830 379552 474440 569328 711660 948880 1138656 1423320 1897760 2846640 5693280