Search a number
-
+
151140150 = 23252747981
BaseRepresentation
bin10010000001000…
…11011100110110
3101112101201022100
421000203130312
5302142441100
622555242530
73513445560
oct1100433466
9345351270
10151140150
1178350917
1242749446
132540ab55
1416104330
15d407400
hex9023736

151140150 has 72 divisors (see below), whose sum is σ = 464081904. Its totient is φ = 34545600.

The previous prime is 151140139. The next prime is 151140151. The reversal of 151140150 is 51041151.

It is a happy number.

151140150 is a `hidden beast` number, since 1 + 511 + 4 + 0 + 150 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151140151) 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, 20841 + ... + 27140.

It is an arithmetic number, because the mean of its divisors is an integer number (6445582).

Almost surely, 2151140150 is an apocalyptic number.

151140150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151140150 is an abundant number, since it is smaller than the sum of its proper divisors (312941754).

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

151140150 is a wasteful number, since it uses less digits than its factorization.

151140150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48006 (or 47998 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 151140150 is about 12293.9070274669. The cubic root of 151140150 is about 532.6720993687.

The spelling of 151140150 in words is "one hundred fifty-one million, one hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 47981 95962 143943 239905 287886 335867 431829 479810 671734 719715 863658 1007601 1199525 1439430 1679335 2015202 2159145 2399050 3022803 3358670 3598575 4318290 5038005 6045606 7197150 8396675 10076010 10795725 15114015 16793350 21591450 25190025 30228030 50380050 75570075 151140150