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20964432 = 2433173193
BaseRepresentation
bin100111111111…
…0010001010000
31110110002210110
41033332101100
520331330212
62025201320
7343123536
oct117762120
943402713
1020964432
1110919985
127030240
1344603b8
142ada156
151c91a3c
hex13fe450

20964432 has 80 divisors (see below), whose sum is σ = 56964608. Its totient is φ = 6635520.

The previous prime is 20964409. The next prime is 20964439. The reversal of 20964432 is 23446902.

It is a self number, because there is not a number n which added to its sum of digits gives 20964432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20964439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108528 + ... + 108720.

Almost surely, 220964432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20964432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28482304).

20964432 is an abundant number, since it is smaller than the sum of its proper divisors (36000176).

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

20964432 is a wasteful number, since it uses less digits than its factorization.

20964432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 20964432 is about 4578.6932633667. The cubic root of 20964432 is about 275.7365686407.

The spelling of 20964432 in words is "twenty million, nine hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 73 93 124 146 186 193 219 248 292 372 386 438 496 579 584 744 772 876 1158 1168 1488 1544 1752 2263 2316 3088 3504 4526 4632 5983 6789 9052 9264 11966 13578 14089 17949 18104 23932 27156 28178 35898 36208 42267 47864 54312 56356 71796 84534 95728 108624 112712 143592 169068 225424 287184 338136 436759 676272 873518 1310277 1747036 2620554 3494072 5241108 6988144 10482216 20964432