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21073140 = 223251129367
BaseRepresentation
bin101000001100…
…0110011110100
31110122121220200
41100120303310
520343320030
62031400500
7344055504
oct120306364
943577820
1021073140
1110993620
127083130
13449aa1a
142b27a04
151cb3d60
hex1418cf4

21073140 has 144 divisors (see below), whose sum is σ = 72334080. Its totient is φ = 4919040.

The previous prime is 21073127. The next prime is 21073141. The reversal of 21073140 is 4137012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21073141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57237 + ... + 57603.

It is an arithmetic number, because the mean of its divisors is an integer number (502320).

Almost surely, 221073140 is an apocalyptic number.

21073140 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 21073140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36167040).

21073140 is an abundant number, since it is smaller than the sum of its proper divisors (51260940).

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

21073140 is a wasteful number, since it uses less digits than its factorization.

21073140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 21073140 is about 4590.5489867771. The cubic root of 21073140 is about 276.2123444644.

The spelling of 21073140 in words is "twenty-one million, seventy-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 367 396 435 495 522 580 638 660 734 870 957 990 1044 1101 1276 1305 1468 1595 1740 1835 1914 1980 2202 2610 2871 3190 3303 3670 3828 4037 4404 4785 5220 5505 5742 6380 6606 7340 8074 9570 10643 11010 11484 12111 13212 14355 16148 16515 19140 20185 21286 22020 24222 28710 31929 33030 36333 40370 42572 48444 53215 57420 60555 63858 66060 72666 80740 95787 106430 117073 121110 127716 145332 159645 181665 191574 212860 234146 242220 319290 351219 363330 383148 468292 478935 585365 638580 702438 726660 957870 1053657 1170730 1404876 1756095 1915740 2107314 2341460 3512190 4214628 5268285 7024380 10536570 21073140