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1145113400 = 235236715601
BaseRepresentation
bin100010001000001…
…0000101100111000
32221210201210021102
41010100100230320
54321122112100
6305343430532
740243206014
oct10420205470
92853653242
101145113400
11538428712
1227b5b5448
13153317ac2
14ac123544
156a7e7cd5
hex44410b38

1145113400 has 48 divisors (see below), whose sum is σ = 2669814240. Its totient is φ = 456768000.

The previous prime is 1145113399. The next prime is 1145113439. The reversal of 1145113400 is 43115411.

It is a happy number.

It is a super-2 number, since 2×11451134002 = 2622569397719120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 65600 + ... + 81200.

It is an arithmetic number, because the mean of its divisors is an integer number (55621130).

Almost surely, 21145113400 is an apocalyptic number.

1145113400 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 1145113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334907120).

1145113400 is an abundant number, since it is smaller than the sum of its proper divisors (1524700840).

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

1145113400 is a wasteful number, since it uses less digits than its factorization.

1145113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15984 (or 15975 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1145113400 is about 33839.5242283339. The cubic root of 1145113400 is about 1046.2034927586.

Adding to 1145113400 its reverse (43115411), we get a palindrome (1188228811).

The spelling of 1145113400 in words is "one billion, one hundred forty-five million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 367 734 1468 1835 2936 3670 7340 9175 14680 15601 18350 31202 36700 62404 73400 78005 124808 156010 312020 390025 624040 780050 1560100 3120200 5725567 11451134 22902268 28627835 45804536 57255670 114511340 143139175 229022680 286278350 572556700 1145113400