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21077940 = 22351361443
BaseRepresentation
bin101000001100…
…1111110110100
31110122212111110
41100121332310
520343443230
62031435020
7344105502
oct120317664
943585443
1021077940
1110997194
127085a70
13449cc70
142b29672
151cb54b0
hex1419fb4

21077940 has 96 divisors (see below), whose sum is σ = 64745856. Its totient is φ = 5091840.

The previous prime is 21077929. The next prime is 21077951. The reversal of 21077940 is 4977012.

It is an interprime number because it is at equal distance from previous prime (21077929) and next prime (21077951).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21077898 and 21077907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47359 + ... + 47801.

It is an arithmetic number, because the mean of its divisors is an integer number (674436).

Almost surely, 221077940 is an apocalyptic number.

21077940 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 21077940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32372928).

21077940 is an abundant number, since it is smaller than the sum of its proper divisors (43667916).

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

21077940 is a wasteful number, since it uses less digits than its factorization.

21077940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 21077940 is about 4591.0717702950. The cubic root of 21077940 is about 276.2333145809.

The spelling of 21077940 in words is "twenty-one million, seventy-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 183 195 244 260 305 366 390 443 610 732 780 793 886 915 1220 1329 1586 1772 1830 2215 2379 2658 3172 3660 3965 4430 4758 5316 5759 6645 7930 8860 9516 11518 11895 13290 15860 17277 23036 23790 26580 27023 28795 34554 47580 54046 57590 69108 81069 86385 108092 115180 135115 162138 172770 270230 324276 345540 351299 405345 540460 702598 810690 1053897 1405196 1621380 1756495 2107794 3512990 4215588 5269485 7025980 10538970 21077940