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1012524240 = 2435721337179
BaseRepresentation
bin111100010110011…
…110010011010000
32121120020120010210
4330112132103100
54033201233430
6244245524120
734043212500
oct7426362320
92546216123
101012524240
1147a5a84a2
12243113640
13131a03990
149868ba00
155dd572b0
hex3c59e4d0

1012524240 has 480 divisors, whose sum is σ = 4060990080. Its totient is φ = 206696448.

The previous prime is 1012524229. The next prime is 1012524257. The reversal of 1012524240 is 424252101.

1012524240 is digitally balanced in base 2, 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5656471 + ... + 5656649.

It is an arithmetic number, because the mean of its divisors is an integer number (8460396).

Almost surely, 21012524240 is an apocalyptic number.

1012524240 is a gapful number since it is divisible by the number (10) 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 1012524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030495040).

1012524240 is an abundant number, since it is smaller than the sum of its proper divisors (3048465840).

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

1012524240 is a wasteful number, since it uses less digits than its factorization.

1012524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1012524240 is about 31820.1860459677. The cubic root of 1012524240 is about 1004.1574384197.

Adding to 1012524240 its reverse (424252101), we get a palindrome (1436776341).

The spelling of 1012524240 in words is "one billion, twelve million, five hundred twenty-four thousand, two hundred forty".