Search a number
-
+
188081880 = 233571713171
BaseRepresentation
bin10110011010111…
…10011011011000
3111002220112211120
423031132123120
5341122110010
630355125240
74442445450
oct1315363330
9432815746
10188081880
1197192778
1252ba3820
132cc7366c
141ad9cd60
15117a2e70
hexb35e6d8

188081880 has 128 divisors (see below), whose sum is σ = 682836480. Its totient is φ = 40458240.

The previous prime is 188081843. The next prime is 188081891. The reversal of 188081880 is 88180881.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 7695 + ... + 20865.

It is an arithmetic number, because the mean of its divisors is an integer number (5334660).

Almost surely, 2188081880 is an apocalyptic number.

188081880 is a gapful number since it is divisible by the number (10) 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 188081880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341418240).

188081880 is an abundant number, since it is smaller than the sum of its proper divisors (494754600).

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

188081880 is a wasteful number, since it uses less digits than its factorization.

188081880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13209 (or 13205 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 42.

The square root of 188081880 is about 13714.2947321399. The cubic root of 188081880 is about 572.9485865867.

Subtracting from 188081880 its reverse (88180881), we obtain a palindrome (99900999).

The spelling of 188081880 in words is "one hundred eighty-eight million, eighty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 13171 14280 26342 39513 52684 65855 79026 92197 105368 131710 158052 184394 197565 223907 263420 276591 316104 368788 395130 447814 460985 526840 553182 671721 737576 790260 895628 921970 1106364 1119535 1343442 1382955 1567349 1580520 1791256 1843940 2212728 2239070 2686884 2765910 3134698 3358605 3687880 4478140 4702047 5373768 5531820 6269396 6717210 7836745 8956280 9404094 11063640 12538792 13434420 15673490 18808188 23510235 26868840 31346980 37616376 47020470 62693960 94040940 188081880