Search a number
-
+
20121504 = 2531323701
BaseRepresentation
bin100110011000…
…0011110100000
31101212021111220
41030300132200
520122342004
61555135040
7333013164
oct114603640
941767456
1020121504
11103a3647
1268a4480
134226820
14295aca4
151b76dd9
hex13307a0

20121504 has 96 divisors (see below), whose sum is σ = 59439744. Its totient is φ = 5913600.

The previous prime is 20121467. The next prime is 20121533. The reversal of 20121504 is 40512102.

It is a tau number, because it is divible by the number of its divisors (96).

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, 28354 + ... + 29054.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 220121504 is an apocalyptic number.

20121504 is a gapful number since it is divisible by the number (24) 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 20121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

20121504 is an abundant number, since it is smaller than the sum of its proper divisors (39318240).

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

20121504 is a wasteful number, since it uses less digits than its factorization.

20121504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 20121504 is about 4485.6999453820. The cubic root of 20121504 is about 271.9903399107.

Adding to 20121504 its reverse (40512102), we get a palindrome (60633606).

The spelling of 20121504 in words is "twenty million, one hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 701 736 897 1104 1196 1248 1402 1794 2103 2208 2392 2804 3588 4206 4784 5608 7176 8412 9113 9568 11216 14352 16123 16824 18226 22432 27339 28704 32246 33648 36452 48369 54678 64492 67296 72904 96738 109356 128984 145808 193476 209599 218712 257968 291616 386952 419198 437424 515936 628797 773904 838396 874848 1257594 1547808 1676792 2515188 3353584 5030376 6707168 10060752 20121504