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1029501090 = 2365141221
BaseRepresentation
bin111101010111001…
…111000010100010
32122202012002000000
4331113033002202
54102023013330
6250053440430
734340420622
oct7527170242
92582162000
101029501090
11489143452
12248940116
13135399057
149aa2a882
15605ac560
hex3d5cf0a2

1029501090 has 56 divisors (see below), whose sum is σ = 2778401628. Its totient is φ = 274531680.

The previous prime is 1029501071. The next prime is 1029501101. The reversal of 1029501090 is 901059201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 896583249 + 132917841 = 29943^2 + 11529^2 .

It is a super-2 number, since 2×10295010902 = 2119744988622376200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63321 + ... + 77900.

Almost surely, 21029501090 is an apocalyptic number.

1029501090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1029501090 is an abundant number, since it is smaller than the sum of its proper divisors (1748900538).

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

1029501090 is an equidigital number, since it uses as much as digits as its factorization.

1029501090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141246 (or 141231 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 1029501090 is about 32085.8393999596. The cubic root of 1029501090 is about 1009.7385494553.

The spelling of 1029501090 in words is "one billion, twenty-nine million, five hundred one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 141221 282442 423663 706105 847326 1270989 1412210 2118315 2541978 3812967 4236630 6354945 7625934 11438901 12709890 19064835 22877802 34316703 38129670 57194505 68633406 102950109 114389010 171583515 205900218 343167030 514750545 1029501090