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20047632 = 2431143883
BaseRepresentation
bin100110001111…
…0011100010000
31101201112011220
41030132130100
520113011012
61553405040
7332254623
oct114363420
941645156
1020047632
11103530a0
126869780
1341cc007
14293bdba
151b6008c
hex131e710

20047632 has 80 divisors (see below), whose sum is σ = 57877248. Its totient is φ = 5927040.

The previous prime is 20047609. The next prime is 20047633. The reversal of 20047632 is 23674002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20047633) by changing a digit.

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, 22263 + ... + 23145.

Almost surely, 220047632 is an apocalyptic number.

20047632 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 20047632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28938624).

20047632 is an abundant number, since it is smaller than the sum of its proper divisors (37829616).

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

20047632 is a wasteful number, since it uses less digits than its factorization.

20047632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20047632 is about 4477.4582075101. The cubic root of 20047632 is about 271.6570793828.

The spelling of 20047632 in words is "twenty million, forty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 883 946 1032 1419 1766 1892 2064 2649 2838 3532 3784 5298 5676 7064 7568 9713 10596 11352 14128 19426 21192 22704 29139 37969 38852 42384 58278 75938 77704 113907 116556 151876 155408 227814 233112 303752 417659 455628 466224 607504 835318 911256 1252977 1670636 1822512 2505954 3341272 5011908 6682544 10023816 20047632