Search a number
-
+
150191790 = 23574715217
BaseRepresentation
bin10001111001110…
…11111010101110
3101110121112101220
420330323322232
5301422114130
622523044210
73502415640
oct1074737256
9343545356
10150191790
1177863351
1242370666
13251682a8
1415d38890
15d2bb410
hex8f3beae

150191790 has 64 divisors (see below), whose sum is σ = 420747264. Its totient is φ = 33596928.

The previous prime is 150191777. The next prime is 150191791. The reversal of 150191790 is 97191051.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150191791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2262 + ... + 17478.

It is an arithmetic number, because the mean of its divisors is an integer number (6574176).

Almost surely, 2150191790 is an apocalyptic number.

150191790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150191790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210373632).

150191790 is an abundant number, since it is smaller than the sum of its proper divisors (270555474).

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

150191790 is a wasteful number, since it uses less digits than its factorization.

150191790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15281.

The product of its (nonzero) digits is 2835, while the sum is 33.

The square root of 150191790 is about 12255.2760066838. The cubic root of 150191790 is about 531.5556406868. Note that the first 3 decimals are identical.

The spelling of 150191790 in words is "one hundred fifty million, one hundred ninety-one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4935 9870 15217 30434 45651 76085 91302 106519 152170 213038 228255 319557 456510 532595 639114 715199 1065190 1430398 1597785 2145597 3195570 3575995 4291194 5006393 7151990 10012786 10727985 15019179 21455970 25031965 30038358 50063930 75095895 150191790