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20124240 = 2435711181
BaseRepresentation
bin100110011000…
…1001001010000
31101212102021020
41030301021100
520122433430
61555155440
7333024153
oct114611120
941772236
1020124240
11103a5704
1268a5b80
134227b46
14295bc9a
151b77b10
hex1331250

20124240 has 80 divisors (see below), whose sum is σ = 63317376. Its totient is φ = 5286400.

The previous prime is 20124233. The next prime is 20124253. The reversal of 20124240 is 4242102.

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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16450 + ... + 17630.

Almost surely, 220124240 is an apocalyptic number.

20124240 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 20124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31658688).

20124240 is an abundant number, since it is smaller than the sum of its proper divisors (43193136).

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

20124240 is a wasteful number, since it uses less digits than its factorization.

20124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20124240 is about 4486.0049041436. The cubic root of 20124240 is about 272.0026672172.

Adding to 20124240 its reverse (4242102), we get a palindrome (24366342).

The spelling of 20124240 in words is "twenty million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1181 1420 1704 2130 2362 2840 3408 3543 4260 4724 5680 5905 7086 8520 9448 11810 14172 17040 17715 18896 23620 28344 35430 47240 56688 70860 83851 94480 141720 167702 251553 283440 335404 419255 503106 670808 838510 1006212 1257765 1341616 1677020 2012424 2515530 3354040 4024848 5031060 6708080 10062120 20124240