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21397680 = 24325113263
BaseRepresentation
bin101000110100…
…0000010110000
31111021010002200
41101220002300
520434211210
62042343200
7346606623
oct121500260
944233080
1021397680
1111095437
1271bab00
134582665
142baddba
151d2a0c0
hex14680b0

21397680 has 120 divisors (see below), whose sum is σ = 72772128. Its totient is φ = 5634048.

The previous prime is 21397669. The next prime is 21397693. The reversal of 21397680 is 8679312.

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

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

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, 81229 + ... + 81491.

Almost surely, 221397680 is an apocalyptic number.

21397680 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 21397680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386064).

21397680 is an abundant number, since it is smaller than the sum of its proper divisors (51374448).

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

21397680 is a wasteful number, since it uses less digits than its factorization.

21397680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21397680 is about 4625.7626398249. The cubic root of 21397680 is about 277.6230766444.

The spelling of 21397680 in words is "twenty-one million, three hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 263 339 360 452 526 565 678 720 789 904 1017 1052 1130 1315 1356 1578 1695 1808 2034 2104 2260 2367 2630 2712 3156 3390 3945 4068 4208 4520 4734 5085 5260 5424 6312 6780 7890 8136 9040 9468 10170 10520 11835 12624 13560 15780 16272 18936 20340 21040 23670 27120 29719 31560 37872 40680 47340 59438 63120 81360 89157 94680 118876 148595 178314 189360 237752 267471 297190 356628 445785 475504 534942 594380 713256 891570 1069884 1188760 1337355 1426512 1783140 2139768 2377520 2674710 3566280 4279536 5349420 7132560 10698840 21397680