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20769120 = 2532514423
BaseRepresentation
bin100111100111…
…0100101100000
31110002011212200
41033032211200
520304102440
62021053200
7341351241
oct117164540
943064780
1020769120
11107a6169
126b57200
1343c2528
142a88cc8
151c53c30
hex13ce960

20769120 has 72 divisors (see below), whose sum is σ = 70879536. Its totient is φ = 5538048.

The previous prime is 20769113. The next prime is 20769131. The reversal of 20769120 is 2196702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5772 + ... + 8651.

It is an arithmetic number, because the mean of its divisors is an integer number (984438).

Almost surely, 220769120 is an apocalyptic number.

20769120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20769120 is an abundant number, since it is smaller than the sum of its proper divisors (50110416).

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

20769120 is a wasteful number, since it uses less digits than its factorization.

20769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14444 (or 14433 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20769120 is about 4557.3149989879. The cubic root of 20769120 is about 274.8776094492.

The spelling of 20769120 in words is "twenty million, seven hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14423 28846 43269 57692 72115 86538 115384 129807 144230 173076 216345 230768 259614 288460 346152 432690 461536 519228 576920 649035 692304 865380 1038456 1153840 1298070 1384608 1730760 2076912 2307680 2596140 3461520 4153824 5192280 6923040 10384560 20769120