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1023454040 = 235737223443
BaseRepresentation
bin111101000000001…
…010101101011000
32122022210212000012
4331000022231120
54044001012130
6245320101052
734235134010
oct7500125530
92568725005
101023454040
11485793194
12246904788
1313405c80b
1499cd4c40
155ecb5995
hex3d00ab58

1023454040 has 128 divisors (see below), whose sum is σ = 2721116160. Its totient is φ = 339116544.

The previous prime is 1023453983. The next prime is 1023454063. The reversal of 1023454040 is 404543201.

It is a junction number, because it is equal to n+sod(n) for n = 1023453997 and 1023454015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2310059 + ... + 2310501.

It is an arithmetic number, because the mean of its divisors is an integer number (21258720).

Almost surely, 21023454040 is an apocalyptic number.

1023454040 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 1023454040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360558080).

1023454040 is an abundant number, since it is smaller than the sum of its proper divisors (1697662120).

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

1023454040 is a wasteful number, since it uses less digits than its factorization.

1023454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1023454040 is about 31991.4682376411. The cubic root of 1023454040 is about 1007.7576761708.

Adding to 1023454040 its reverse (404543201), we get a palindrome (1427997241).

The spelling of 1023454040 in words is "one billion, twenty-three million, four hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 223 259 280 296 370 443 446 518 740 886 892 1036 1115 1295 1480 1561 1772 1784 2072 2215 2230 2590 3101 3122 3544 4430 4460 5180 6202 6244 7805 8251 8860 8920 10360 12404 12488 15505 15610 16391 16502 17720 24808 31010 31220 32782 33004 41255 57757 62020 62440 65564 66008 81955 82510 98789 114737 115514 124040 131128 163910 165020 197578 229474 231028 288785 327820 330040 395156 458948 462056 493945 573685 577570 655640 691523 790312 917896 987890 1147370 1155140 1383046 1975780 2294740 2310280 2766092 3457615 3655193 3951560 4589480 5532184 6915230 7310386 13830460 14620772 18275965 25586351 27660920 29241544 36551930 51172702 73103860 102345404 127931755 146207720 204690808 255863510 511727020 1023454040