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1090420410 = 23553798681
BaseRepresentation
bin100000011111110…
…0111111010111010
32210222211002121010
41000333213322322
54213121423120
6300111254350
736010264152
oct10077477272
92728732533
101090420410
1150a571aa2
1226521a3b6
13144ba85a1
14a4b67762
1565ae27e0
hex40fe7eba

1090420410 has 64 divisors (see below), whose sum is σ = 2700449280. Its totient is φ = 281648640.

The previous prime is 1090420399. The next prime is 1090420423. The reversal of 1090420410 is 140240901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121270 + ... + 129950.

It is an arithmetic number, because the mean of its divisors is an integer number (42194520).

Almost surely, 21090420410 is an apocalyptic number.

1090420410 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 1090420410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350224640).

1090420410 is an abundant number, since it is smaller than the sum of its proper divisors (1610028870).

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

1090420410 is a wasteful number, since it uses less digits than its factorization.

1090420410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8823.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1090420410 is about 33021.5143504958. The cubic root of 1090420410 is about 1029.2747620366.

The spelling of 1090420410 in words is "one billion, ninety million, four hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 79 106 158 159 237 265 318 395 474 530 790 795 1185 1590 2370 4187 8374 8681 12561 17362 20935 25122 26043 41870 43405 52086 62805 86810 125610 130215 260430 460093 685799 920186 1371598 1380279 2057397 2300465 2760558 3428995 4114794 4600930 6857990 6901395 10286985 13802790 20573970 36347347 72694694 109042041 181736735 218084082 363473470 545210205 1090420410