Search a number
-
+
160137900 = 2232521313687
BaseRepresentation
bin10011000101110…
…00001010101100
3102011022211220100
421202320022230
5311443403100
623520151100
73653102226
oct1142701254
9364284810
10160137900
1182436a7a
1245768490
132723b470
14173a7416
15e0d3400
hex98b82ac

160137900 has 108 divisors (see below), whose sum is σ = 540593872. Its totient is φ = 39415680.

The previous prime is 160137889. The next prime is 160137907. The reversal of 160137900 is 9731061.

160137900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (160137907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4857 + ... + 18543.

Almost surely, 2160137900 is an apocalyptic number.

160137900 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 160137900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270296936).

160137900 is an abundant number, since it is smaller than the sum of its proper divisors (380455972).

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

160137900 is a wasteful number, since it uses less digits than its factorization.

160137900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13720 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 160137900 is about 12654.5604427811. The cubic root of 160137900 is about 543.0394444449.

Adding to 160137900 its reverse (9731061), we get a palindrome (169868961).

The spelling of 160137900 in words is "one hundred sixty million, one hundred thirty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 13687 27374 41061 54748 68435 82122 123183 136870 164244 177931 205305 246366 273740 342175 355862 410610 492732 533793 615915 684350 711724 821220 889655 1026525 1067586 1231830 1368700 1601379 1779310 2053050 2135172 2463660 2668965 3079575 3202758 3558620 4106100 4448275 5337930 6159150 6405516 8006895 8896550 10675860 12318300 13344825 16013790 17793100 26689650 32027580 40034475 53379300 80068950 160137900