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1023230400 = 26352213173
BaseRepresentation
bin111100111111010…
…100000111000000
32122022101111020020
4330333110013000
54043421333100
6245311213440
734233213003
oct7477240700
92568344206
101023230400
11485650165
12246817280
13133cb1a9a
1499c7753a
155ec6e5a0
hex3cfd41c0

1023230400 has 84 divisors (see below), whose sum is σ = 3357064152. Its totient is φ = 272860160.

The previous prime is 1023230393. The next prime is 1023230413. The reversal of 1023230400 is 40323201.

1023230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1023230400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101787 + ... + 111386.

Almost surely, 21023230400 is an apocalyptic number.

1023230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023230400 is an abundant number, since it is smaller than the sum of its proper divisors (2333833752).

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

1023230400 is a wasteful number, since it uses less digits than its factorization.

1023230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213198 (or 213183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1023230400 is about 31987.9727397658. The cubic root of 1023230400 is about 1007.6842674536.

Adding to 1023230400 its reverse (40323201), we get a palindrome (1063553601).

The spelling of 1023230400 in words is "one billion, twenty-three million, two hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 213173 426346 639519 852692 1065865 1279038 1705384 2131730 2558076 3197595 3410768 4263460 5116152 5329325 6395190 6821536 8526920 10232304 10658650 12790380 13643072 15987975 17053840 20464608 21317300 25580760 31975950 34107680 40929216 42634600 51161520 63951900 68215360 85269200 102323040 127903800 170538400 204646080 255807600 341076800 511615200 1023230400