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90034780 = 22511616709
BaseRepresentation
bin1010101110111…
…01001001011100
320021102020111111
411113131021130
5141022103110
612533431404
72142166033
oct527351134
9207366444
1090034780
1146905510
122619b564
1315864a24
14bd5971a
157d86e8a
hex55dd25c

90034780 has 48 divisors (see below), whose sum is σ = 209674080. Its totient is φ = 32198400.

The previous prime is 90034759. The next prime is 90034793. The reversal of 90034780 is 8743009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10066 + ... + 16774.

It is an arithmetic number, because the mean of its divisors is an integer number (4368210).

Almost surely, 290034780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90034780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104837040).

90034780 is an abundant number, since it is smaller than the sum of its proper divisors (119639300).

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

90034780 is a wasteful number, since it uses less digits than its factorization.

90034780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 90034780 is about 9488.6658703951. The cubic root of 90034780 is about 448.1981943535.

Adding to 90034780 its reverse (8743009), we get a palindrome (98777789).

The spelling of 90034780 in words is "ninety million, thirty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6709 6710 13418 13420 26836 33545 67090 73799 134180 147598 295196 368995 409249 737990 818498 1475980 1636996 2046245 4092490 4501739 8184980 9003478 18006956 22508695 45017390 90034780