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20897280 = 29325907
BaseRepresentation
bin100111110110…
…1111000000000
31110022200200100
41033231320000
520322203110
62023522400
7342424005
oct117557000
943280610
1020897280
1110883488
126bb9400
134438971
142abd8ac
151c7bbc0
hex13ede00

20897280 has 120 divisors (see below), whose sum is σ = 72452952. Its totient is φ = 5566464.

The previous prime is 20897273. The next prime is 20897287. The reversal of 20897280 is 8279802.

It is an interprime number because it is at equal distance from previous prime (20897273) and next prime (20897287).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×208972802 = 873392622796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20897287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22587 + ... + 23493.

Almost surely, 220897280 is an apocalyptic number.

20897280 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 20897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36226476).

20897280 is an abundant number, since it is smaller than the sum of its proper divisors (51555672).

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

20897280 is an equidigital number, since it uses as much as digits as its factorization.

20897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 20897280 is about 4571.3542851107. The cubic root of 20897280 is about 275.4418461735.

The spelling of 20897280 in words is "twenty million, eight hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 907 960 1152 1280 1440 1536 1814 1920 2304 2560 2721 2880 3628 3840 4535 4608 5442 5760 7256 7680 8163 9070 10884 11520 13605 14512 16326 18140 21768 23040 27210 29024 32652 36280 40815 43536 54420 58048 65304 72560 81630 87072 108840 116096 130608 145120 163260 174144 217680 232192 261216 290240 326520 348288 435360 464384 522432 580480 653040 696576 870720 1044864 1160960 1306080 1393152 1741440 2089728 2321920 2612160 3482880 4179456 5224320 6965760 10448640 20897280