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5140188 = 22321737227
BaseRepresentation
bin10011100110111011011100
3100200011000100
4103212323130
52303441223
6302101100
761455654
oct23467334
910604010
105140188
1129a0999
12187a790
1310ac841
1497b364
156b8043
hex4e6edc

5140188 has 72 divisors (see below), whose sum is σ = 14191632. Its totient is φ = 1562112.

The previous prime is 5140183. The next prime is 5140189. The reversal of 5140188 is 8810415.

It is a super-3 number, since 3×51401883 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140181) 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, 22531 + ... + 22757.

It is an arithmetic number, because the mean of its divisors is an integer number (197106).

Almost surely, 25140188 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 5140188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095816).

5140188 is an abundant number, since it is smaller than the sum of its proper divisors (9051444).

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

5140188 is a wasteful number, since it uses less digits than its factorization.

5140188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 5140188 is about 2267.1982709944. The cubic root of 5140188 is about 172.5810079505.

The spelling of 5140188 in words is "five million, one hundred forty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 227 306 333 444 454 612 629 666 681 908 1258 1332 1362 1887 2043 2516 2724 3774 3859 4086 5661 7548 7718 8172 8399 11322 11577 15436 16798 22644 23154 25197 33596 34731 46308 50394 69462 75591 100788 138924 142783 151182 285566 302364 428349 571132 856698 1285047 1713396 2570094 5140188