Search a number
-
+
151045120 = 210529501
BaseRepresentation
bin10010000000011…
…00010000000000
3101112012212221201
421000030100000
5302131420440
622553230544
73512601532
oct1100142000
9345185851
10151045120
1178296486
1242702454
13253a6815
14160bb852
15d3d919a
hex900c400

151045120 has 44 divisors (see below), whose sum is σ = 362343564. Its totient is φ = 60416000.

The previous prime is 151045109. The next prime is 151045121. The reversal of 151045120 is 21540151.

It can be written as a sum of positive squares in 2 ways, for example, as 57032704 + 94012416 = 7552^2 + 9696^2 .

It is not an unprimeable number, because it can be changed into a prime (151045121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9631 + ... + 19870.

It is an arithmetic number, because the mean of its divisors is an integer number (8235081).

Almost surely, 2151045120 is an apocalyptic number.

151045120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151045120 is an abundant number, since it is smaller than the sum of its proper divisors (211298444).

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

151045120 is an equidigital number, since it uses as much as digits as its factorization.

151045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29526 (or 29508 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 151045120 is about 12290.0414970821. The cubic root of 151045120 is about 532.5604360274.

Adding to 151045120 its reverse (21540151), we get a palindrome (172585271).

The spelling of 151045120 in words is "one hundred fifty-one million, forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 29501 59002 118004 147505 236008 295010 472016 590020 944032 1180040 1888064 2360080 3776128 4720160 7552256 9440320 15104512 18880640 30209024 37761280 75522560 151045120