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20361768 = 2337196379
BaseRepresentation
bin100110110101…
…1001000101000
31102022111002120
41031223020220
520203034033
62004231240
7335033520
oct115531050
942274076
1020361768
1110548109
12699b520
1342abcab
1429c0680
151bc31b3
hex136b228

20361768 has 64 divisors (see below), whose sum is σ = 61248000. Its totient is φ = 5510592.

The previous prime is 20361751. The next prime is 20361791. The reversal of 20361768 is 86716302.

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 15 ways as a sum of consecutive naturals, for example, 3 + ... + 6381.

It is an arithmetic number, because the mean of its divisors is an integer number (957000).

Almost surely, 220361768 is an apocalyptic number.

20361768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20361768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30624000).

20361768 is an abundant number, since it is smaller than the sum of its proper divisors (40886232).

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

20361768 is a wasteful number, since it uses less digits than its factorization.

20361768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 20361768 is about 4512.4015778740. The cubic root of 20361768 is about 273.0686405781.

The spelling of 20361768 in words is "twenty million, three hundred sixty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 6379 12758 19137 25516 38274 44653 51032 76548 89306 121201 133959 153096 178612 242402 267918 357224 363603 484804 535836 727206 848407 969608 1071672 1454412 1696814 2545221 2908824 3393628 5090442 6787256 10180884 20361768