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20119632 = 24313191697
BaseRepresentation
bin100110011000…
…0000001010000
31101212011221120
41030300001100
520122312012
61555122240
7333004551
oct114600120
941764846
1020119632
11103a21a5
1268a3380
134225a10
14295a328
151b7658c
hex1330050

20119632 has 80 divisors (see below), whose sum is σ = 58954560. Its totient is φ = 5861376.

The previous prime is 20119621. The next prime is 20119633. The reversal of 20119632 is 23691102.

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 (20119633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11008 + ... + 12704.

It is an arithmetic number, because the mean of its divisors is an integer number (736932).

Almost surely, 220119632 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 20119632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29477280).

20119632 is an abundant number, since it is smaller than the sum of its proper divisors (38834928).

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

20119632 is a wasteful number, since it uses less digits than its factorization.

20119632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 20119632 is about 4485.4912774411. The cubic root of 20119632 is about 271.9819047939.

The spelling of 20119632 in words is "twenty million, one hundred nineteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1697 1976 2964 3394 3952 5091 5928 6788 10182 11856 13576 20364 22061 27152 32243 40728 44122 64486 66183 81456 88244 96729 128972 132366 176488 193458 257944 264732 352976 386916 419159 515888 529464 773832 838318 1058928 1257477 1547664 1676636 2514954 3353272 5029908 6706544 10059816 20119632