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20380008 = 233111719239
BaseRepresentation
bin100110110111…
…1100101101000
31102100102010010
41031233211220
520204130013
62004451520
7335140635
oct115574550
942312103
1020380008
111055a890
1269a9ba0
1342b739c
1429c718c
151bc87c3
hex136f968

20380008 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 5483520.

The previous prime is 20379977. The next prime is 20380033. The reversal of 20380008 is 80008302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85153 + ... + 85391.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 220380008 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 20380008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

20380008 is an abundant number, since it is smaller than the sum of its proper divisors (41827992).

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

20380008 is a wasteful number, since it uses less digits than its factorization.

20380008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20380008 is about 4514.4222221675. The cubic root of 20380008 is about 273.1501542183.

The spelling of 20380008 in words is "twenty million, three hundred eighty thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 17 19 22 24 33 34 38 44 51 57 66 68 76 88 102 114 132 136 152 187 204 209 228 239 264 323 374 408 418 456 478 561 627 646 717 748 836 956 969 1122 1254 1292 1434 1496 1672 1912 1938 2244 2508 2584 2629 2868 3553 3876 4063 4488 4541 5016 5258 5736 7106 7752 7887 8126 9082 10516 10659 12189 13623 14212 15774 16252 18164 21032 21318 24378 27246 28424 31548 32504 36328 42636 44693 48756 49951 54492 63096 77197 85272 89386 97512 99902 108984 134079 149853 154394 178772 199804 231591 268158 299706 308788 357544 399608 463182 536316 599412 617576 849167 926364 1072632 1198824 1698334 1852728 2547501 3396668 5095002 6793336 10190004 20380008