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20769432 = 23319371231
BaseRepresentation
bin100111100111…
…0101010011000
31110002012022020
41033032222120
520304110212
62021054440
7341352165
oct117165230
943065266
1020769432
11107a6422
126b57420
1343c2708
142a8906c
151c53d8c
hex13cea98

20769432 has 64 divisors (see below), whose sum is σ = 56179200. Its totient is φ = 6376320.

The previous prime is 20769409. The next prime is 20769443. The reversal of 20769432 is 23496702.

It is a junction number, because it is equal to n+sod(n) for n = 20769393 and 20769402.

It is a congruent number.

It is an unprimeable number.

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, 16257 + ... + 17487.

It is an arithmetic number, because the mean of its divisors is an integer number (877800).

Almost surely, 220769432 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 20769432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28089600).

20769432 is an abundant number, since it is smaller than the sum of its proper divisors (35409768).

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

20769432 is a wasteful number, since it uses less digits than its factorization.

20769432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 20769432 is about 4557.3492295412. The cubic root of 20769432 is about 274.8789858738.

The spelling of 20769432 in words is "twenty million, seven hundred sixty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1231 1406 2109 2462 2812 3693 4218 4924 5624 7386 8436 9848 14772 16872 23389 29544 45547 46778 70167 91094 93556 136641 140334 182188 187112 273282 280668 364376 546564 561336 865393 1093128 1730786 2596179 3461572 5192358 6923144 10384716 20769432