Search a number
-
+
21010960 = 2451923601
BaseRepresentation
bin101000000100…
…1101000010000
31110112110121201
41100021220100
520334322320
62030200544
7343406305
oct120115020
943473551
1021010960
1110950933
127053154
134478629
142b0d0ac
151ca070a
hex1409a10

21010960 has 80 divisors (see below), whose sum is σ = 53746560. Its totient is φ = 7603200.

The previous prime is 21010943. The next prime is 21010967. The reversal of 21010960 is 6901012.

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 (19).

It is not an unprimeable number, because it can be changed into a prime (21010967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34660 + ... + 35260.

It is an arithmetic number, because the mean of its divisors is an integer number (671832).

Almost surely, 221010960 is an apocalyptic number.

21010960 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 21010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26873280).

21010960 is an abundant number, since it is smaller than the sum of its proper divisors (32735600).

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

21010960 is a wasteful number, since it uses less digits than its factorization.

21010960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 21010960 is about 4583.7713730072. The cubic root of 21010960 is about 275.9404058128.

Adding to 21010960 its reverse (6901012), we get a palindrome (27911972).

The spelling of 21010960 in words is "twenty-one million, ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 601 760 874 920 1202 1520 1748 1840 2185 2404 3005 3496 4370 4808 6010 6992 8740 9616 11419 12020 13823 17480 22838 24040 27646 34960 45676 48080 55292 57095 69115 91352 110584 114190 138230 182704 221168 228380 262637 276460 456760 525274 552920 913520 1050548 1105840 1313185 2101096 2626370 4202192 5252740 10505480 21010960