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149796001 = 417614801
BaseRepresentation
bin10001110110110…
…11010010100001
3101102212102111001
420323123102201
5301321433001
622510352001
73466150015
oct1073332241
9342772431
10149796001
1177612a53
12421bb601
132505a0b4
1415c74545
15d23e001
hex8edb4a1

149796001 has 8 divisors (see below), whose sum is σ = 153683208. Its totient is φ = 145920000.

The previous prime is 149795977. The next prime is 149796037. The reversal of 149796001 is 100697941.

149796001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6969600 + 142826401 = 2640^2 + 11951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(149796001) divides (149796001-1)3.

It is a cyclic number.

It is not a de Polignac number, because 149796001 - 213 = 149787809 is a prime.

It is a deceptive number, since it divides R149796000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149796071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28801 + ... + 33601.

It is an arithmetic number, because the mean of its divisors is an integer number (19210401).

It is a Poulet number, since it divides 2149796000-1.

Almost surely, 2149796001 is an apocalyptic number.

It is an amenable number.

149796001 is a deficient number, since it is larger than the sum of its proper divisors (3887207).

149796001 is an equidigital number, since it uses as much as digits as its factorization.

149796001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603.

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 149796001 is about 12239.1176561058. The cubic root of 149796001 is about 531.0883072208.

It can be divided in two parts, 14979600 and 1, that added together give a triangular number (14979601 = T5473).

The spelling of 149796001 in words is "one hundred forty-nine million, seven hundred ninety-six thousand, one".

Divisors: 1 41 761 4801 31201 196841 3653561 149796001