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20248768 = 261737503
BaseRepresentation
bin100110100111…
…1100011000000
31102002202002101
41031033203000
520140430033
62002000144
7334053211
oct115174300
942082071
1020248768
1110480221
126946054
13426c727
142991408
151b9e97d
hex134f8c0

20248768 has 56 divisors (see below), whose sum is σ = 43781472. Its totient is φ = 9252864.

The previous prime is 20248733. The next prime is 20248771. The reversal of 20248768 is 86784202.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40005 + ... + 40507.

It is an arithmetic number, because the mean of its divisors is an integer number (781812).

Almost surely, 220248768 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 20248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890736).

20248768 is an abundant number, since it is smaller than the sum of its proper divisors (23532704).

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

20248768 is a wasteful number, since it uses less digits than its factorization.

20248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 20248768 is about 4499.8631090290. The cubic root of 20248768 is about 272.5625611767.

The spelling of 20248768 in words is "twenty million, two hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 148 272 296 503 544 592 629 1006 1088 1184 1258 2012 2368 2516 4024 5032 8048 8551 10064 16096 17102 18611 20128 32192 34204 37222 40256 68408 74444 136816 148888 273632 297776 316387 547264 595552 632774 1191104 1265548 2531096 5062192 10124384 20248768