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1202664090 = 2351913715401
BaseRepresentation
bin100011110101111…
…0011001010011010
310002211000122222110
41013223303022122
54430340222330
6315201133150
741542322205
oct10753631232
93084018873
101202664090
11567966371
1229692a1b6
13162217c74
14b5a2493c
15708b4db0
hex47af329a

1202664090 has 64 divisors (see below), whose sum is σ = 3060685440. Its totient is φ = 301593600.

The previous prime is 1202664077. The next prime is 1202664131. The reversal of 1202664090 is 904662021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70390 + ... + 85790.

It is an arithmetic number, because the mean of its divisors is an integer number (47823210).

Almost surely, 21202664090 is an apocalyptic number.

1202664090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202664090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530342720).

1202664090 is an abundant number, since it is smaller than the sum of its proper divisors (1858021350).

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

1202664090 is a wasteful number, since it uses less digits than its factorization.

1202664090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15567.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1202664090 is about 34679.4476599614. The cubic root of 1202664090 is about 1063.4443818558. Note that the first 3 decimals are identical.

The spelling of 1202664090 in words is "one billion, two hundred two million, six hundred sixty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 137 190 274 285 411 570 685 822 1370 2055 2603 4110 5206 7809 13015 15401 15618 26030 30802 39045 46203 77005 78090 92406 154010 231015 292619 462030 585238 877857 1463095 1755714 2109937 2926190 4219874 4389285 6329811 8778570 10549685 12659622 21099370 31649055 40088803 63298110 80177606 120266409 200444015 240532818 400888030 601332045 1202664090