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2401590090 = 235500316001
BaseRepresentation
bin1000111100100101…
…0101101101001010
320012101000102021010
42033021111231022
514404301340330
61034150224350
7113341115244
oct21711255512
96171012233
102401590090
1110226a91a9
125703550b6
132c3724633
1418ad55094
15e0c8c3b0
hex8f255b4a

2401590090 has 32 divisors (see below), whose sum is σ = 5765328576. Its totient is φ = 640256000.

The previous prime is 2401590077. The next prime is 2401590091. The reversal of 2401590090 is 900951042.

It is a happy number.

2401590090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2401590091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142090 + ... + 158090.

It is an arithmetic number, because the mean of its divisors is an integer number (180166518).

Almost surely, 22401590090 is an apocalyptic number.

2401590090 is an abundant number, since it is smaller than the sum of its proper divisors (3363738486).

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

2401590090 is a wasteful number, since it uses less digits than its factorization.

2401590090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21014.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2401590090 is about 49006.0209566131. The cubic root of 2401590090 is about 1339.1615178435.

The spelling of 2401590090 in words is "two billion, four hundred one million, five hundred ninety thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 5003 10006 15009 16001 25015 30018 32002 48003 50030 75045 80005 96006 150090 160010 240015 480030 80053003 160106006 240159009 400265015 480318018 800530030 1200795045 2401590090