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1143045400 = 235276191319
BaseRepresentation
bin100010000100001…
…0111110100011000
32221122211201111211
41010020113310120
54320104423100
6305231232504
740216503610
oct10410276430
92848751454
101143045400
11537245a22
1227a978734
13152a72733
14abb45a40
156a53a1ba
hex44217d18

1143045400 has 96 divisors (see below), whose sum is σ = 3044448000. Its totient is φ = 390971520.

The previous prime is 1143045383. The next prime is 1143045433. The reversal of 1143045400 is 45403411.

It is a super-2 number, since 2×11430454002 = 2613105572922320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865941 + ... + 867259.

It is an arithmetic number, because the mean of its divisors is an integer number (31713000).

Almost surely, 21143045400 is an apocalyptic number.

1143045400 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 1143045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522224000).

1143045400 is an abundant number, since it is smaller than the sum of its proper divisors (1901402600).

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

1143045400 is a wasteful number, since it uses less digits than its factorization.

1143045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1143045400 is about 33808.9544351789. The cubic root of 1143045400 is about 1045.5733215340.

Adding to 1143045400 its reverse (45403411), we get a palindrome (1188448811).

The spelling of 1143045400 in words is "one billion, one hundred forty-three million, forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 619 700 1238 1319 1400 2476 2638 3095 4333 4952 5276 6190 6595 8666 9233 10552 12380 13190 15475 17332 18466 21665 24760 26380 30950 32975 34664 36932 43330 46165 52760 61900 65950 73864 86660 92330 108325 123800 131900 173320 184660 216650 230825 263800 369320 433300 461650 816461 866600 923300 1632922 1846600 3265844 4082305 5715227 6531688 8164610 11430454 16329220 20411525 22860908 28576135 32658440 40823050 45721816 57152270 81646100 114304540 142880675 163292200 228609080 285761350 571522700 1143045400