Search a number
-
+
188089664 = 2671921163
BaseRepresentation
bin10110011011000…
…00010101000000
3111002220221111212
423031200111000
5341122332124
630355225252
74442510240
oct1315402500
9432827455
10188089664
1197198604
1252ba8228
132cc77079
141ada1b20
15117a540e
hexb360540

188089664 has 84 divisors (see below), whose sum is σ = 450579744. Its totient is φ = 76301568.

The previous prime is 188089661. The next prime is 188089687. The reversal of 188089664 is 466980881.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188089661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161147 + ... + 162309.

Almost surely, 2188089664 is an apocalyptic number.

188089664 is a gapful number since it is divisible by the number (14) 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 188089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225289872).

188089664 is an abundant number, since it is smaller than the sum of its proper divisors (262490080).

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

188089664 is a wasteful number, since it uses less digits than its factorization.

188089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 188089664 is about 13714.5785206837. The cubic root of 188089664 is about 572.9564905383.

The spelling of 188089664 in words is "one hundred eighty-eight million, eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 361 448 532 608 722 1064 1163 1216 1444 2128 2326 2527 2888 4256 4652 5054 5776 8141 8512 9304 10108 11552 16282 18608 20216 22097 23104 32564 37216 40432 44194 65128 74432 80864 88388 130256 154679 161728 176776 260512 309358 353552 419843 521024 618716 707104 839686 1237432 1414208 1679372 2474864 2938901 3358744 4949728 5877802 6717488 9899456 11755604 13434976 23511208 26869952 47022416 94044832 188089664