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1043130400 = 255213195279
BaseRepresentation
bin111110001011001…
…110100000100000
32200200211111220021
4332023032200200
54114020133100
6251301523224
734564314334
oct7613164040
92620744807
101043130400
11495902344
12251413514
1313815b830
149c7777c4
15618a0a1a
hex3e2ce820

1043130400 has 144 divisors (see below), whose sum is σ = 2887315200. Its totient is φ = 364815360.

The previous prime is 1043130397. The next prime is 1043130409. The reversal of 1043130400 is 40313401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1043130409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 194961 + ... + 200239.

It is an arithmetic number, because the mean of its divisors is an integer number (20050800).

Almost surely, 21043130400 is an apocalyptic number.

1043130400 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 1043130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443657600).

1043130400 is an abundant number, since it is smaller than the sum of its proper divisors (1844184800).

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

1043130400 is a wasteful number, since it uses less digits than its factorization.

1043130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1043130400 is about 32297.5293172713. The cubic root of 1043130400 is about 1014.1749221991.

Adding to 1043130400 its reverse (40313401), we get a palindrome (1083443801).

The spelling of 1043130400 in words is "one billion, forty-three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 65 76 80 95 100 104 130 152 160 190 200 208 247 260 304 325 380 400 416 475 494 520 608 650 760 800 950 988 1040 1235 1300 1520 1900 1976 2080 2470 2600 3040 3800 3952 4940 5200 5279 6175 7600 7904 9880 10400 10558 12350 15200 19760 21116 24700 26395 39520 42232 49400 52790 68627 84464 98800 100301 105580 131975 137254 168928 197600 200602 211160 263950 274508 343135 401204 422320 501505 527900 549016 686270 802408 844640 1003010 1055800 1098032 1303913 1372540 1604816 1715675 2006020 2111600 2196064 2507525 2607826 2745080 3209632 3431350 4012040 4223200 5015050 5215652 5490160 6519565 6862700 8024080 10030100 10431304 10980320 13039130 13725400 16048160 20060200 20862608 26078260 27450800 32597825 40120400 41725216 52156520 54901600 65195650 80240800 104313040 130391300 208626080 260782600 521565200 1043130400