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1132001440 = 25517224481
BaseRepresentation
bin100001101111000…
…1111100010100000
32220220001122001021
41003132033202200
54304243021230
6304154415224
740023565513
oct10336174240
92826048037
101132001440
11530a92489
12277131514
131506a694b
14aa4acd7a
15695a7c7a
hex4378f8a0

1132001440 has 72 divisors (see below), whose sum is σ = 2841038172. Its totient is φ = 426147840.

The previous prime is 1132001411. The next prime is 1132001441. The reversal of 1132001440 is 441002311.

It can be written as a sum of positive squares in 6 ways, for example, as 433139344 + 698862096 = 20812^2 + 26436^2 .

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 (1132001441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34000 + ... + 58480.

Almost surely, 21132001440 is an apocalyptic number.

1132001440 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 1132001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420519086).

1132001440 is an abundant number, since it is smaller than the sum of its proper divisors (1709036732).

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

1132001440 is a wasteful number, since it uses less digits than its factorization.

1132001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24530 (or 24505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1132001440 is about 33645.2290822934. The cubic root of 1132001440 is about 1042.1950187774.

Adding to 1132001440 its reverse (441002311), we get a palindrome (1573003751).

The spelling of 1132001440 in words is "one billion, one hundred thirty-two million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2312 2720 2890 4624 5780 9248 11560 23120 24481 46240 48962 97924 122405 195848 244810 391696 416177 489620 783392 832354 979240 1664708 1958480 2080885 3329416 3916960 4161770 6658832 7075009 8323540 13317664 14150018 16647080 28300036 33294160 35375045 56600072 66588320 70750090 113200144 141500180 226400288 283000360 566000720 1132001440