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20770624 = 26771653
BaseRepresentation
bin100111100111…
…0111101000000
31110002020221101
41033032331000
520304124444
62021104144
7341355520
oct117167500
943066841
1020770624
11107a7306
126b58054
1343c3114
142a89680
151c543d4
hex13cef40

20770624 has 56 divisors (see below), whose sum is σ = 47841408. Its totient is φ = 8762880.

The previous prime is 20770619. The next prime is 20770637. The reversal of 20770624 is 42607702.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20770592 and 20770601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31482 + ... + 32134.

Almost surely, 220770624 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 20770624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23920704).

20770624 is an abundant number, since it is smaller than the sum of its proper divisors (27070784).

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

20770624 is an equidigital number, since it uses as much as digits as its factorization.

20770624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 20770624 is about 4557.4800054416. The cubic root of 20770624 is about 274.8842443948.

The spelling of 20770624 in words is "twenty million, seven hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 653 994 1136 1306 1988 2272 2612 3976 4544 4571 5224 7952 9142 10448 15904 18284 20896 31808 36568 41792 46363 73136 92726 146272 185452 292544 324541 370904 649082 741808 1298164 1483616 2596328 2967232 5192656 10385312 20770624