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20997600 = 2535213673
BaseRepresentation
bin101000000011…
…0010111100000
31110111210021220
41100012113200
520333410400
62030015040
7343322331
oct120062740
943453256
1020997600
1110941898
127047480
134472520
142b08288
151c9b7a0
hex14065e0

20997600 has 144 divisors (see below), whose sum is σ = 73714032. Its totient is φ = 5160960.

The previous prime is 20997583. The next prime is 20997619. The reversal of 20997600 is 679902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30864 + ... + 31536.

It is an arithmetic number, because the mean of its divisors is an integer number (511903).

Almost surely, 220997600 is an apocalyptic number.

20997600 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 20997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36857016).

20997600 is an abundant number, since it is smaller than the sum of its proper divisors (52716432).

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

20997600 is a wasteful number, since it uses less digits than its factorization.

20997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 20997600 is about 4582.3138260054. The cubic root of 20997600 is about 275.8819070504.

The spelling of 20997600 in words is "twenty million, nine hundred ninety-seven thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 673 780 800 975 1040 1200 1248 1300 1346 1560 1950 2019 2080 2400 2600 2692 3120 3365 3900 4038 5200 5384 6240 6730 7800 8076 8749 10095 10400 10768 13460 15600 16152 16825 17498 20190 21536 26247 26920 31200 32304 33650 34996 40380 43745 50475 52494 53840 64608 67300 69992 80760 87490 100950 104988 107680 131235 134600 139984 161520 174980 201900 209976 218725 262470 269200 279968 323040 349960 403800 419952 437450 524940 538400 656175 699920 807600 839904 874900 1049880 1312350 1399840 1615200 1749800 2099760 2624700 3499600 4199520 5249400 6999200 10498800 20997600