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20125840 = 245783433
BaseRepresentation
bin100110011000…
…1100010010000
31101212111110111
41030301202100
520123011330
61555211104
7333031630
oct114614220
941774414
1020125840
11103a6929
1268a6a94
1342287a7
14295c6c0
151b7832a
hex1331890

20125840 has 80 divisors (see below), whose sum is σ = 54246528. Its totient is φ = 6801408.

The previous prime is 20125829. The next prime is 20125843. The reversal of 20125840 is 4852102.

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

It is not an unprimeable number, because it can be changed into a prime (20125843) 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, 46264 + ... + 46696.

Almost surely, 220125840 is an apocalyptic number.

20125840 is a gapful number since it is divisible by the number (20) 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 20125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27123264).

20125840 is an abundant number, since it is smaller than the sum of its proper divisors (34120688).

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

20125840 is a wasteful number, since it uses less digits than its factorization.

20125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 20125840 is about 4486.1832329944. The cubic root of 20125840 is about 272.0098756507.

Adding to 20125840 its reverse (4852102), we get a palindrome (24977942).

The spelling of 20125840 in words is "twenty million, one hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 433 560 581 664 830 866 1162 1328 1660 1732 2165 2324 2905 3031 3320 3464 4330 4648 5810 6062 6640 6928 8660 9296 11620 12124 15155 17320 23240 24248 30310 34640 35939 46480 48496 60620 71878 121240 143756 179695 242480 251573 287512 359390 503146 575024 718780 1006292 1257865 1437560 2012584 2515730 2875120 4025168 5031460 10062920 20125840