Search a number
-
+
188425380 = 2235111321961
BaseRepresentation
bin10110011101100…
…10010010100100
3111010120000000210
423032302102210
5341214103010
630410335420
74445406063
oct1316622244
9433500023
10188425380
11973a7860
125312a570
1330063b10
141b04c1da
151181eb20
hexb3b24a4

188425380 has 96 divisors (see below), whose sum is σ = 619855488. Its totient is φ = 42163200.

The previous prime is 188425351. The next prime is 188425387. The reversal of 188425380 is 83524881.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (188425387) 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 31 ways as a sum of consecutive naturals, for example, 2401 + ... + 19560.

It is an arithmetic number, because the mean of its divisors is an integer number (6456828).

Almost surely, 2188425380 is an apocalyptic number.

188425380 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 188425380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309927744).

188425380 is an abundant number, since it is smaller than the sum of its proper divisors (431430108).

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

188425380 is a wasteful number, since it uses less digits than its factorization.

188425380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21997 (or 21995 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 188425380 is about 13726.8124486350. The cubic root of 188425380 is about 573.2971726187.

It can be divided in two parts, 188425 and 380, that added together give a triangular number (188805 = T614).

The spelling of 188425380 in words is "one hundred eighty-eight million, four hundred twenty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 21961 43922 65883 87844 109805 131766 219610 241571 263532 285493 329415 439220 483142 570986 658830 724713 856479 966284 1141972 1207855 1317660 1427465 1449426 1712958 2415710 2854930 2898852 3140423 3425916 3623565 4282395 4831420 5709860 6280846 7247130 8564790 9421269 12561692 14494260 15702115 17129580 18842538 31404230 37685076 47106345 62808460 94212690 188425380