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20883888 = 24321719449
BaseRepresentation
bin100111110101…
…0100110110000
31110022000022100
41033222212300
520321241023
62023340400
7342336654
oct117524660
943260270
1020883888
1110874413
126bb1700
13443283c
142ab8a64
151c77c43
hex13ea9b0

20883888 has 120 divisors (see below), whose sum is σ = 65286000. Its totient is φ = 6193152.

The previous prime is 20883881. The next prime is 20883893. The reversal of 20883888 is 88838802.

It is a super-2 number, since 2×208838882 = 872273555993088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20883881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46288 + ... + 46736.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 220883888 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 20883888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643000).

20883888 is an abundant number, since it is smaller than the sum of its proper divisors (44402112).

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

20883888 is a wasteful number, since it uses less digits than its factorization.

20883888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 20883888 is about 4569.8892765580. The cubic root of 20883888 is about 275.3829947272.

The spelling of 20883888 in words is "twenty million, eight hundred eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 449 456 612 646 684 816 898 912 969 1224 1292 1347 1368 1796 1938 2448 2584 2694 2736 2907 3592 3876 4041 5168 5388 5814 7184 7633 7752 8082 8531 10776 11628 15266 15504 16164 17062 21552 22899 23256 25593 30532 32328 34124 45798 46512 51186 61064 64656 68248 68697 76779 91596 102372 122128 136496 137394 145027 153558 183192 204744 274788 290054 307116 366384 409488 435081 549576 580108 614232 870162 1099152 1160216 1228464 1305243 1740324 2320432 2610486 3480648 5220972 6961296 10441944 20883888