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151005440 = 285117973
BaseRepresentation
bin10010000000000…
…10100100000000
3101112010212112002
421000002210000
5302124133230
622552323132
73512345045
oct1100024400
9345125462
10151005440
1178269693
12426a34a8
1325391741
14160ab1cc
15d3cc545
hex9002900

151005440 has 36 divisors (see below), whose sum is σ = 361708284. Its totient is φ = 60401664.

The previous prime is 151005431. The next prime is 151005451. The reversal of 151005440 is 44500151.

It can be written as a sum of positive squares in 2 ways, for example, as 114233344 + 36772096 = 10688^2 + 6064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 57707 + ... + 60266.

Almost surely, 2151005440 is an apocalyptic number.

151005440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151005440 is an abundant number, since it is smaller than the sum of its proper divisors (210702844).

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

151005440 is an equidigital number, since it uses as much as digits as its factorization.

151005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117994 (or 117980 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 151005440 is about 12288.4270759117. The cubic root of 151005440 is about 532.5137968756.

Adding to 151005440 its reverse (44500151), we get a palindrome (195505591).

The spelling of 151005440 in words is "one hundred fifty-one million, five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 117973 235946 471892 589865 943784 1179730 1887568 2359460 3775136 4718920 7550272 9437840 15100544 18875680 30201088 37751360 75502720 151005440