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20612880 = 243453181
BaseRepresentation
bin100111010100…
…0011100010000
31102210020120000
41032220130100
520234103010
62013450000
7340130601
oct116503420
942706500
1020612880
11106a9842
126aa0900
134369392
142a47da8
151c227c0
hex13a8710

20612880 has 100 divisors (see below), whose sum is σ = 71614092. Its totient is φ = 5495040.

The previous prime is 20612869. The next prime is 20612903. The reversal of 20612880 is 8821602.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 16548624 = 2016^2 + 4068^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4890 + ... + 8070.

Almost surely, 220612880 is an apocalyptic number.

20612880 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 20612880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35807046).

20612880 is an abundant number, since it is smaller than the sum of its proper divisors (51001212).

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

20612880 is a wasteful number, since it uses less digits than its factorization.

20612880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20612880 is about 4540.1409669745. The cubic root of 20612880 is about 274.1865992330.

The spelling of 20612880 in words is "twenty million, six hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3181 3240 6362 6480 9543 12724 15905 19086 25448 28629 31810 38172 47715 50896 57258 63620 76344 85887 95430 114516 127240 143145 152688 171774 190860 229032 254480 257661 286290 343548 381720 429435 458064 515322 572580 687096 763440 858870 1030644 1145160 1288305 1374192 1717740 2061288 2290320 2576610 3435480 4122576 5153220 6870960 10306440 20612880