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5237520 = 2435139157
BaseRepresentation
bin10011111110101100010000
3100212002112020
4103332230100
52320100040
6304131440
762342511
oct23765420
910762466
105237520
112a58032
121906b80
131114c32
149a4a08
156d6cd0
hex4feb10

5237520 has 80 divisors (see below), whose sum is σ = 16457280. Its totient is φ = 1377792.

The previous prime is 5237509. The next prime is 5237527. The reversal of 5237520 is 257325.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5237527) 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, 33282 + ... + 33438.

It is an arithmetic number, because the mean of its divisors is an integer number (205716).

Almost surely, 25237520 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 5237520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228640).

5237520 is an abundant number, since it is smaller than the sum of its proper divisors (11219760).

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

5237520 is a wasteful number, since it uses less digits than its factorization.

5237520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5237520 is about 2288.5628678278. The cubic root of 5237520 is about 173.6635061106.

The spelling of 5237520 in words is "five million, two hundred thirty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 157 240 278 314 417 471 556 628 695 785 834 942 1112 1256 1390 1570 1668 1884 2085 2224 2355 2512 2780 3140 3336 3768 4170 4710 5560 6280 6672 7536 8340 9420 11120 12560 16680 18840 21823 33360 37680 43646 65469 87292 109115 130938 174584 218230 261876 327345 349168 436460 523752 654690 872920 1047504 1309380 1745840 2618760 5237520