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21629370 = 2357127811
BaseRepresentation
bin101001010000…
…0100110111010
31111200212220210
41102200212322
521014114440
62051331550
7351563250
oct122404672
944625823
1021629370
1111233514
1272b0bb6
134633c59
142c305d0
151d73a80
hex14a09ba

21629370 has 64 divisors (see below), whose sum is σ = 59867136. Its totient is φ = 4898880.

The previous prime is 21629359. The next prime is 21629371. The reversal of 21629370 is 7392612.

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

It is not an unprimeable number, because it can be changed into a prime (21629371) 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 31 ways as a sum of consecutive naturals, for example, 26265 + ... + 27075.

It is an arithmetic number, because the mean of its divisors is an integer number (935424).

Almost surely, 221629370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21629370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29933568).

21629370 is an abundant number, since it is smaller than the sum of its proper divisors (38237766).

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

21629370 is a wasteful number, since it uses less digits than its factorization.

21629370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 21629370 is about 4650.7386510102. The cubic root of 21629370 is about 278.6214982791.

The spelling of 21629370 in words is "twenty-one million, six hundred twenty-nine thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 381 635 762 811 889 1270 1622 1778 1905 2433 2667 3810 4055 4445 4866 5334 5677 8110 8890 11354 12165 13335 17031 24330 26670 28385 34062 56770 85155 102997 170310 205994 308991 514985 617982 720979 1029970 1441958 1544955 2162937 3089910 3604895 4325874 7209790 10814685 21629370