Search a number
-
+
624013140 = 2235371032729
BaseRepresentation
bin100101001100011…
…010111101010100
31121111012011002210
4211030122331110
52234221410030
6141530433420
721315011202
oct4514327524
91544164083
10624013140
112a026a343
12154b92870
139c38585a
145cc38072
1539bb2bb0
hex2531af54

624013140 has 96 divisors (see below), whose sum is σ = 1812545280. Its totient is φ = 160275456.

The previous prime is 624013133. The next prime is 624013141. The reversal of 624013140 is 41310426.

624013140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (624013141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227296 + ... + 230024.

It is an arithmetic number, because the mean of its divisors is an integer number (18880680).

Almost surely, 2624013140 is an apocalyptic number.

624013140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 624013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906272640).

624013140 is an abundant number, since it is smaller than the sum of its proper divisors (1188532140).

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

624013140 is a wasteful number, since it uses less digits than its factorization.

624013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 624013140 is about 24980.2550027016. The cubic root of 624013140 is about 854.5377344529.

Adding to 624013140 its reverse (41310426), we get a palindrome (665323566).

The spelling of 624013140 in words is "six hundred twenty-four million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 103 111 148 185 206 222 309 370 412 444 515 555 618 740 1030 1110 1236 1545 2060 2220 2729 3090 3811 5458 6180 7622 8187 10916 11433 13645 15244 16374 19055 22866 27290 32748 38110 40935 45732 54580 57165 76220 81870 100973 114330 163740 201946 228660 281087 302919 403892 504865 562174 605838 843261 1009730 1124348 1211676 1405435 1514595 1686522 2019460 2810870 3029190 3373044 4216305 5621740 6058380 8432610 10400219 16865220 20800438 31200657 41600876 52001095 62401314 104002190 124802628 156003285 208004380 312006570 624013140