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1021332090 = 235374719577
BaseRepresentation
bin111100111000000…
…100101001111010
32122011211001020110
4330320010221322
54042430111330
6245202405150
734211115402
oct7470045172
92564731213
101021332090
11484573a09
122460607b6
13133798a1c
1499901802
155e9e6db0
hex3ce04a7a

1021332090 has 64 divisors (see below), whose sum is σ = 2571139584. Its totient is φ = 259342848.

The previous prime is 1021332079. The next prime is 1021332113. The reversal of 1021332090 is 902331201.

It is a happy number.

1021332090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42382 + ... + 61958.

It is an arithmetic number, because the mean of its divisors is an integer number (40174056).

Almost surely, 21021332090 is an apocalyptic number.

1021332090 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 1021332090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285569792).

1021332090 is an abundant number, since it is smaller than the sum of its proper divisors (1549807494).

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

1021332090 is a wasteful number, since it uses less digits than its factorization.

1021332090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19671.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1021332090 is about 31958.2867187839. The cubic root of 1021332090 is about 1007.0607254875.

Adding to 1021332090 its reverse (902331201), we get a palindrome (1923663291).

The spelling of 1021332090 in words is "one billion, twenty-one million, three hundred thirty-two thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 141 185 222 235 282 370 470 555 705 1110 1410 1739 3478 5217 8695 10434 17390 19577 26085 39154 52170 58731 97885 117462 195770 293655 587310 724349 920119 1448698 1840238 2173047 2760357 3621745 4346094 4600595 5520714 7243490 9201190 10865235 13801785 21730470 27603570 34044403 68088806 102133209 170222015 204266418 340444030 510666045 1021332090