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5140368 = 243373163
BaseRepresentation
bin10011100110111110010000
3100200011021000
4103212332100
52303442433
6302102000
761456332
oct23467620
910604230
105140368
1129a1042
12187a900
1310ac94c
1497b452
156b8113
hex4e6f90

5140368 has 80 divisors (see below), whose sum is σ = 15048640. Its totient is φ = 1679616.

The previous prime is 5140367. The next prime is 5140381. The reversal of 5140368 is 8630415.

5140368 is digitally balanced in base 4, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (5140361) 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, 31455 + ... + 31617.

It is an arithmetic number, because the mean of its divisors is an integer number (188108).

Almost surely, 25140368 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 5140368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524320).

5140368 is an abundant number, since it is smaller than the sum of its proper divisors (9908272).

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

5140368 is a wasteful number, since it uses less digits than its factorization.

5140368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5140368 is about 2267.2379672191. The cubic root of 5140368 is about 172.5830224176.

The spelling of 5140368 in words is "five million, one hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 163 216 219 292 326 432 438 489 584 652 657 876 978 1168 1304 1314 1467 1752 1956 1971 2608 2628 2934 3504 3912 3942 4401 5256 5868 7824 7884 8802 10512 11736 11899 15768 17604 23472 23798 31536 35208 35697 47596 70416 71394 95192 107091 142788 190384 214182 285576 321273 428364 571152 642546 856728 1285092 1713456 2570184 5140368