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20121480 = 2333531601
BaseRepresentation
bin100110011000…
…0011110001000
31101212021111000
41030300132020
520122341410
61555135000
7333013131
oct114603610
941767430
1020121480
11103a3625
1268a4460
134226802
14295ac88
151b76dc0
hex1330788

20121480 has 128 divisors (see below), whose sum is σ = 69350400. Its totient is φ = 5184000.

The previous prime is 20121467. The next prime is 20121533. The reversal of 20121480 is 8412102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33180 + ... + 33780.

It is an arithmetic number, because the mean of its divisors is an integer number (541800).

Almost surely, 220121480 is an apocalyptic number.

20121480 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 20121480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34675200).

20121480 is an abundant number, since it is smaller than the sum of its proper divisors (49228920).

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

20121480 is a wasteful number, since it uses less digits than its factorization.

20121480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20121480 is about 4485.6972702134. The cubic root of 20121480 is about 271.9902317715.

Adding to 20121480 its reverse (8412102), we get a palindrome (28533582).

The spelling of 20121480 in words is "twenty million, one hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 601 620 744 837 930 1080 1116 1202 1240 1395 1674 1803 1860 2232 2404 2790 3005 3348 3606 3720 4185 4808 5409 5580 6010 6696 7212 8370 9015 10818 11160 12020 14424 16227 16740 18030 18631 21636 24040 27045 32454 33480 36060 37262 43272 54090 55893 64908 72120 74524 81135 93155 108180 111786 129816 149048 162270 167679 186310 216360 223572 279465 324540 335358 372620 447144 503037 558930 649080 670716 745240 838395 1006074 1117860 1341432 1676790 2012148 2235720 2515185 3353580 4024296 5030370 6707160 10060740 20121480