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151441040 = 2456131033
BaseRepresentation
bin10010000011011…
…00111010010000
3101112222000001102
421001230322100
5302232103130
623005523532
73516141032
oct1101547220
9345860042
10151441040
1178536993
12428735a8
13254b4aaa
1416181c52
15d466645
hex906ce90

151441040 has 40 divisors (see below), whose sum is σ = 357884088. Its totient is φ = 59581440.

The previous prime is 151441027. The next prime is 151441051. The reversal of 151441040 is 40144151.

It can be written as a sum of positive squares in 4 ways, for example, as 1721344 + 149719696 = 1312^2 + 12236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10637 + ... + 20396.

Almost surely, 2151441040 is an apocalyptic number.

151441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151441040 is an abundant number, since it is smaller than the sum of its proper divisors (206443048).

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

151441040 is a wasteful number, since it uses less digits than its factorization.

151441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31107 (or 31101 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 151441040 is about 12306.1383057399. The cubic root of 151441040 is about 533.0253464850.

Adding to 151441040 its reverse (40144151), we get a palindrome (191585191).

The spelling of 151441040 in words is "one hundred fifty-one million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 31033 62066 124132 155165 248264 310330 496528 620660 1241320 1893013 2482640 3786026 7572052 9465065 15144104 18930130 30288208 37860260 75720520 151441040