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1023300320 = 25572130523
BaseRepresentation
bin111100111111100…
…101001011100000
32122022112001010212
4330333211023200
54043431102240
6245312513252
734233623600
oct7477451340
92568461125
101023300320
11485698749
1224684b828
13134007863
1499c94c00
155ec85165
hex3cfe52e0

1023300320 has 72 divisors (see below), whose sum is σ = 2812270104. Its totient is φ = 350843136.

The previous prime is 1023300253. The next prime is 1023300353. The reversal of 1023300320 is 230033201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1023300295 and 1023300304.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 57422 + ... + 73101.

It is an arithmetic number, because the mean of its divisors is an integer number (39059307).

Almost surely, 21023300320 is an apocalyptic number.

1023300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023300320 is an abundant number, since it is smaller than the sum of its proper divisors (1788969784).

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

1023300320 is a wasteful number, since it uses less digits than its factorization.

1023300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130552 (or 130537 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1023300320 is about 31989.0656318686. The cubic root of 1023300320 is about 1007.7072194949.

Adding to 1023300320 its reverse (230033201), we get a palindrome (1253333521).

The spelling of 1023300320 in words is "one billion, twenty-three million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 130523 261046 522092 652615 913661 1044184 1305230 1827322 2088368 2610460 3654644 4176736 4568305 5220920 6395627 7309288 9136610 10441840 12791254 14618576 18273220 20883680 25582508 29237152 31978135 36546440 51165016 63956270 73092880 102330032 127912540 146185760 204660064 255825080 511650160 1023300320