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5140032 = 263191409
BaseRepresentation
bin10011100110111001000000
3100200010210120
4103212321000
52303440112
6302100240
761455342
oct23467100
910603716
105140032
1129a0867
12187a680
1310ac751
1497b292
156b7e8c
hex4e6e40

5140032 has 56 divisors (see below), whose sum is σ = 14325600. Its totient is φ = 1622016.

The previous prime is 5140027. The next prime is 5140049. The reversal of 5140032 is 2300415.

5140032 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×51400324 (a number of 28 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 5139993 and 5140020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2944 + ... + 4352.

Almost surely, 25140032 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 5140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162800).

5140032 is an abundant number, since it is smaller than the sum of its proper divisors (9185568).

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

5140032 is a wasteful number, since it uses less digits than its factorization.

5140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5140032 is about 2267.1638670374. The cubic root of 5140032 is about 172.5792620410.

Adding to 5140032 its reverse (2300415), we get a palindrome (7440447).

The spelling of 5140032 in words is "five million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1409 1824 2818 3648 4227 5636 8454 11272 16908 22544 26771 33816 45088 53542 67632 80313 90176 107084 135264 160626 214168 270528 321252 428336 642504 856672 1285008 1713344 2570016 5140032