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21219640 = 2351324373
BaseRepresentation
bin101000011110…
…0100100111000
31110221001212121
41100330210320
520413012030
62034451024
7345235561
oct120744470
943831777
1021219640
1110a836a2
127133a74
13451c600
142b65168
151ce247a
hex143c938

21219640 has 96 divisors (see below), whose sum is σ = 53626320. Its totient is φ = 7547904.

The previous prime is 21219631. The next prime is 21219641. The reversal of 21219640 is 4691212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21219641) 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 23 ways as a sum of consecutive naturals, for example, 290644 + ... + 290716.

Almost surely, 221219640 is an apocalyptic number.

21219640 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 21219640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26813160).

21219640 is an abundant number, since it is smaller than the sum of its proper divisors (32406680).

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

21219640 is a wasteful number, since it uses less digits than its factorization.

21219640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 21219640 is about 4606.4780472721. The cubic root of 21219640 is about 276.8509409291.

The spelling of 21219640 in words is "twenty-one million, two hundred nineteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 73 86 104 130 146 169 172 215 260 292 338 344 365 430 520 559 584 676 730 845 860 949 1118 1352 1460 1690 1720 1898 2236 2795 2920 3139 3380 3796 4472 4745 5590 6278 6760 7267 7592 9490 11180 12337 12556 14534 15695 18980 22360 24674 25112 29068 31390 36335 37960 40807 49348 58136 61685 62780 72670 81614 98696 123370 125560 145340 163228 204035 246740 290680 326456 408070 493480 530491 816140 1060982 1632280 2121964 2652455 4243928 5304910 10609820 21219640