Search a number
-
+
151140020 = 22527492
BaseRepresentation
bin10010000001000…
…11011010110100
3101112101201010112
421000203122310
5302142440040
622555242152
73513445313
oct1100433264
9345351115
10151140020
1178350809
1242749358
132540aa85
141610427a
15d407365
hex90236b4

151140020 has 18 divisors (see below), whose sum is σ = 317509542. Its totient is φ = 60434016.

The previous prime is 151140001. The next prime is 151140023. The reversal of 151140020 is 20041151.

It can be written as a sum of positive squares in 3 ways, for example, as 1860496 + 149279524 = 1364^2 + 12218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151139977 and 151140004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151140023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53606 + ... + 56354.

It is an arithmetic number, because the mean of its divisors is an integer number (17639419).

Almost surely, 2151140020 is an apocalyptic number.

151140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151140020 is an abundant number, since it is smaller than the sum of its proper divisors (166369522).

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

151140020 is an frugal number, since it uses more digits than its factorization.

151140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 151140020 is about 12293.9017402938. The cubic root of 151140020 is about 532.6719466464.

Adding to 151140020 its reverse (20041151), we get a palindrome (171181171).

The spelling of 151140020 in words is "one hundred fifty-one million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 2749 5498 10996 13745 27490 54980 7557001 15114002 30228004 37785005 75570010 151140020