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1134122440 = 2351114917299
BaseRepresentation
bin100001110011001…
…0101010111001000
32221001001101111211
41003212111113020
54310313404230
6304312102504
740050611263
oct10346252710
92831041454
101134122440
11532200a80
12277994a34
13150c6a189
14aa8a1cda
156987642a
hex439955c8

1134122440 has 64 divisors (see below), whose sum is σ = 2802600000. Its totient is φ = 409616640.

The previous prime is 1134122419. The next prime is 1134122449. The reversal of 1134122440 is 442214311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1134122449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56911 + ... + 74209.

It is an arithmetic number, because the mean of its divisors is an integer number (43790625).

Almost surely, 21134122440 is an apocalyptic number.

1134122440 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 1134122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401300000).

1134122440 is an abundant number, since it is smaller than the sum of its proper divisors (1668477560).

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

1134122440 is a wasteful number, since it uses less digits than its factorization.

1134122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17470 (or 17466 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1134122440 is about 33676.7344022546. The cubic root of 1134122440 is about 1042.8455233941.

Adding to 1134122440 its reverse (442214311), we get a palindrome (1576336751).

The spelling of 1134122440 in words is "one billion, one hundred thirty-four million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 149 220 298 440 596 745 1192 1490 1639 2980 3278 5960 6556 8195 13112 16390 17299 32780 34598 65560 69196 86495 138392 172990 190289 345980 380578 691960 761156 951445 1522312 1902890 2577551 3805780 5155102 7611560 10310204 12887755 20620408 25775510 28353061 51551020 56706122 103102040 113412244 141765305 226824488 283530610 567061220 1134122440