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21040000432 = 241173222433
BaseRepresentation
bin10011100110000101…
…001110110110110000
32000022022110202122021
4103212011032312300
5321042220003212
613355440121224
71343251024063
oct234605166660
960268422567
1021040000432
118a17593810
1240b2306214
131ca3cab8c9
1410384868da
158321ee307
hex4e614edb0

21040000432 has 60 divisors (see below), whose sum is σ = 45090455544. Its totient is φ = 9432207360.

The previous prime is 21040000403. The next prime is 21040000433. The reversal of 21040000432 is 23400004012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21040000433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 926688 + ... + 949120.

Almost surely, 221040000432 is an apocalyptic number.

21040000432 is a gapful number since it is divisible by the number (22) 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 21040000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22545227772).

21040000432 is an abundant number, since it is smaller than the sum of its proper divisors (24050455112).

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

21040000432 is a wasteful number, since it uses less digits than its factorization.

21040000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22598 (or 22519 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 21040000432 its reverse (23400004012), we get a palindrome (44440004444).

The spelling of 21040000432 in words is "twenty-one billion, forty million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 1168 1606 3212 5329 6424 10658 12848 21316 22433 42632 44866 58619 85264 89732 117238 179464 234476 246763 358928 468952 493526 937904 987052 1637609 1974104 3275218 3948208 6550436 13100872 18013699 26201744 36027398 72054796 119545457 144109592 239090914 288219184 478181828 956363656 1315000027 1912727312 2630000054 5260000108 10520000216 21040000432