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1023235040 = 255231012753
BaseRepresentation
bin111100111111010…
…101001111100000
32122022101201121002
4330333111033200
54043422010130
6245311251132
734233232352
oct7477251740
92568351532
101023235040
114856536a3
12246819aa8
13133cb3c29
1499c790d2
155ec70b45
hex3cfd53e0

1023235040 has 96 divisors (see below), whose sum is σ = 2548397376. Its totient is φ = 387481600.

The previous prime is 1023235033. The next prime is 1023235061. The reversal of 1023235040 is 405323201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 370304 + ... + 373056.

It is an arithmetic number, because the mean of its divisors is an integer number (26545806).

Almost surely, 21023235040 is an apocalyptic number.

1023235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274198688).

1023235040 is an abundant number, since it is smaller than the sum of its proper divisors (1525162336).

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

1023235040 is a wasteful number, since it uses less digits than its factorization.

1023235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1023235040 is about 31988.0452669431. The cubic root of 1023235040 is about 1007.6857906191.

Adding to 1023235040 its reverse (405323201), we get a palindrome (1428558241).

The spelling of 1023235040 in words is "one billion, twenty-three million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 101 115 160 184 202 230 368 404 460 505 736 808 920 1010 1616 1840 2020 2323 2753 3232 3680 4040 4646 5506 8080 9292 11012 11615 13765 16160 18584 22024 23230 27530 37168 44048 46460 55060 63319 74336 88096 92920 110120 126638 185840 220240 253276 278053 316595 371680 440480 506552 556106 633190 1013104 1112212 1266380 1390265 2026208 2224424 2532760 2780530 4448848 5065520 5561060 6395219 8897696 10131040 11122120 12790438 22244240 25580876 31976095 44488480 51161752 63952190 102323504 127904380 204647008 255808760 511617520 1023235040