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20749932 = 2234721307
BaseRepresentation
bin100111100100…
…1111001101100
31110001012120000
41033021321230
520302444212
62020424300
7341241300
oct117117154
943035500
1020749932
1110792805
126b48090
1343b6888
142a81d00
151c4d1dc
hex13c9e6c

20749932 has 90 divisors (see below), whose sum is σ = 63148932. Its totient is φ = 5924016.

The previous prime is 20749931. The next prime is 20749961. The reversal of 20749932 is 23994702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20749931) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15223 + ... + 16529.

Almost surely, 220749932 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 20749932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31574466).

20749932 is an abundant number, since it is smaller than the sum of its proper divisors (42399000).

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

20749932 is a wasteful number, since it uses less digits than its factorization.

20749932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20749932 is about 4555.2093255964. The cubic root of 20749932 is about 274.7929328287.

The spelling of 20749932 in words is "twenty million, seven hundred forty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1307 1323 1764 2268 2614 2646 3921 3969 5228 5292 7842 7938 9149 11763 15684 15876 18298 23526 27447 35289 36596 47052 54894 64043 70578 82341 105867 109788 128086 141156 164682 192129 211734 247023 256172 329364 384258 423468 494046 576387 741069 768516 988092 1152774 1482138 1729161 2305548 2964276 3458322 5187483 6916644 10374966 20749932