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20734032 = 24311107367
BaseRepresentation
bin100111100011…
…0000001010000
31110000101202010
41033012001100
520301442112
62020222520
7341144034
oct117060120
943011663
1020734032
1110781870
126b3aa40
1343ac577
142a7a1c4
151c4863c
hex13c6050

20734032 has 80 divisors (see below), whose sum is σ = 59139072. Its totient is φ = 6207360.

The previous prime is 20734027. The next prime is 20734039. The reversal of 20734032 is 23043702.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20734039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56313 + ... + 56679.

Almost surely, 220734032 is an apocalyptic number.

20734032 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 20734032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29569536).

20734032 is an abundant number, since it is smaller than the sum of its proper divisors (38405040).

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

20734032 is a wasteful number, since it uses less digits than its factorization.

20734032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 20734032 is about 4553.4637365417. The cubic root of 20734032 is about 274.7227265889.

Adding to 20734032 its reverse (23043702), we get a palindrome (43777734).

It can be divided in two parts, 2073 and 4032, that added together give a triangular number (6105 = T110).

The spelling of 20734032 in words is "twenty million, seven hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 367 428 528 642 734 856 1101 1177 1284 1468 1712 2202 2354 2568 2936 3531 4037 4404 4708 5136 5872 7062 8074 8808 9416 12111 14124 16148 17616 18832 24222 28248 32296 39269 48444 56496 64592 78538 96888 117807 157076 193776 235614 314152 431959 471228 628304 863918 942456 1295877 1727836 1884912 2591754 3455672 5183508 6911344 10367016 20734032