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5140632 = 233737827
BaseRepresentation
bin10011100111000010011000
3100200011121210
4103213002120
52304000012
6302103120
761460160
oct23470230
910604553
105140632
1129a1262
12187aaa0
1310acac3
1497b5a0
156b823c
hex4e7098

5140632 has 64 divisors (see below), whose sum is σ = 15102720. Its totient is φ = 1427328.

The previous prime is 5140591. The next prime is 5140633. The reversal of 5140632 is 2360415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 5140599 and 5140608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140633) 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, 5803 + ... + 6629.

It is an arithmetic number, because the mean of its divisors is an integer number (235980).

Almost surely, 25140632 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 5140632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551360).

5140632 is an abundant number, since it is smaller than the sum of its proper divisors (9962088).

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

5140632 is a wasteful number, since it uses less digits than its factorization.

5140632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5140632 is about 2267.2961870916. The cubic root of 5140632 is about 172.5859768843.

The spelling of 5140632 in words is "five million, one hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 827 888 1036 1554 1654 2072 2481 3108 3308 4962 5789 6216 6616 9924 11578 17367 19848 23156 30599 34734 46312 61198 69468 91797 122396 138936 183594 214193 244792 367188 428386 642579 734376 856772 1285158 1713544 2570316 5140632