Search a number
-
+
21710640 = 2435712923
BaseRepresentation
bin101001011010…
…0011100110000
31111212000101210
41102310130300
521024220030
62053200120
7352352220
oct122643460
944760353
1021710640
1111289586
127330040
134661c43
142c52080
151d8cbb0
hex14b4730

21710640 has 80 divisors (see below), whose sum is σ = 76923648. Its totient is φ = 4962048.

The previous prime is 21710639. The next prime is 21710669. The reversal of 21710640 is 4601712.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4782 + ... + 8141.

Almost surely, 221710640 is an apocalyptic number.

21710640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21710640 is an abundant number, since it is smaller than the sum of its proper divisors (55213008).

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

21710640 is a wasteful number, since it uses less digits than its factorization.

21710640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 21710640 is about 4659.4677807664. The cubic root of 21710640 is about 278.9700254279.

The spelling of 21710640 in words is "twenty-one million, seven hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 12923 25846 38769 51692 64615 77538 90461 103384 129230 155076 180922 193845 206768 258460 271383 310152 361844 387690 452305 516920 542766 620304 723688 775380 904610 1033840 1085532 1356915 1447376 1550760 1809220 2171064 2713830 3101520 3618440 4342128 5427660 7236880 10855320 21710640