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20387268 = 2233111312
BaseRepresentation
bin100110111000…
…1010111000100
31102100210002000
41031301113010
520204343033
62004545300
7335201046
oct115612704
942323060
1020387268
1110565290
1269b2230
1342ba795
1429c9a96
151bcaa13
hex13715c4

20387268 has 72 divisors (see below), whose sum is σ = 58104480. Its totient is φ = 6130800.

The previous prime is 20387249. The next prime is 20387287. The reversal of 20387268 is 86278302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20387249) and next prime (20387287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155563 + ... + 155693.

Almost surely, 220387268 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 20387268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29052240).

20387268 is an abundant number, since it is smaller than the sum of its proper divisors (37717212).

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

20387268 is a wasteful number, since it uses less digits than its factorization.

20387268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20387268 is about 4515.2262401789. The cubic root of 20387268 is about 273.1825852603.

The spelling of 20387268 in words is "twenty million, three hundred eighty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 131 132 198 262 297 393 396 524 594 786 1179 1188 1441 1572 2358 2882 3537 4323 4716 5764 7074 8646 12969 14148 17161 17292 25938 34322 38907 51483 51876 68644 77814 102966 154449 155628 188771 205932 308898 377542 463347 566313 617796 755084 926694 1132626 1698939 1853388 2265252 3397878 5096817 6795756 10193634 20387268