Search a number
-
+
1023067290 = 235740112149
BaseRepresentation
bin111100111110101…
…100010010011010
32122022002012111010
4330332230102122
54043401123130
6245303514350
734231633320
oct7476542232
92568065433
101023067290
11485549663
122467589b6
13133c5577b
1499c33d10
155ec3b0b0
hex3cfac49a

1023067290 has 64 divisors (see below), whose sum is σ = 2813356800. Its totient is φ = 233241600.

The previous prime is 1023067271. The next prime is 1023067291. The reversal of 1023067290 is 927603201.

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

It is not an unprimeable number, because it can be changed into a prime (1023067291) by changing a digit.

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, 78136 + ... + 90284.

It is an arithmetic number, because the mean of its divisors is an integer number (43958700).

Almost surely, 21023067290 is an apocalyptic number.

1023067290 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 1023067290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406678400).

1023067290 is an abundant number, since it is smaller than the sum of its proper divisors (1790289510).

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

1023067290 is a wasteful number, since it uses less digits than its factorization.

1023067290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1023067290 is about 31985.4230861497. The cubic root of 1023067290 is about 1007.6307206619.

The spelling of 1023067290 in words is "one billion, twenty-three million, sixty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 401 802 1203 2005 2406 2807 4010 5614 6015 8421 12030 12149 14035 16842 24298 28070 36447 42105 60745 72894 84210 85043 121490 170086 182235 255129 364470 425215 510258 850430 1275645 2551290 4871749 9743498 14615247 24358745 29230494 34102243 48717490 68204486 73076235 102306729 146152470 170511215 204613458 341022430 511533645 1023067290