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21830536 = 23713157191
BaseRepresentation
bin101001101000…
…1101110001000
31112002002212101
41103101232020
521042034121
62055523144
7353361610
oct123215610
945062771
1021830536
1111360672
1273894b4
1346a46a0
142c83a40
151db3491
hex14d1b88

21830536 has 64 divisors (see below), whose sum is σ = 50964480. Its totient is φ = 8536320.

The previous prime is 21830527. The next prime is 21830569. The reversal of 21830536 is 63503812.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 114201 + ... + 114391.

It is an arithmetic number, because the mean of its divisors is an integer number (796320).

Almost surely, 221830536 is an apocalyptic number.

21830536 is a gapful number since it is divisible by the number (26) 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 21830536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25482240).

21830536 is an abundant number, since it is smaller than the sum of its proper divisors (29133944).

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

21830536 is a wasteful number, since it uses less digits than its factorization.

21830536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 21830536 is about 4672.3159139767. The cubic root of 21830536 is about 279.4826159952.

It can be divided in two parts, 21830 and 536, that added together give a triangular number (22366 = T211).

The spelling of 21830536 in words is "twenty-one million, eight hundred thirty thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 157 182 191 314 364 382 628 728 764 1099 1256 1337 1528 2041 2198 2483 2674 4082 4396 4966 5348 8164 8792 9932 10696 14287 16328 17381 19864 28574 29987 34762 57148 59974 69524 114296 119948 139048 209909 239896 389831 419818 779662 839636 1559324 1679272 2728817 3118648 5457634 10915268 21830536