Search a number
-
+
1130378752 = 2915114621
BaseRepresentation
bin100001101100000…
…0011011000000000
32220210000012010201
41003120003120000
54303334110002
6304055534544
740004026606
oct10330033000
92823005121
101130378752
11530084318
1227668a454
13150259189
14aa1a9876
1569387087
hex43603600

1130378752 has 40 divisors (see below), whose sum is σ = 2273662512. Its totient is φ = 561408000.

The previous prime is 1130378747. The next prime is 1130378759. The reversal of 1130378752 is 2578730311.

It is a super-3 number, since 3×11303787523 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130378759) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70002 + ... + 84622.

Almost surely, 21130378752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136831256).

1130378752 is an abundant number, since it is smaller than the sum of its proper divisors (1143283760).

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

1130378752 is an equidigital number, since it uses as much as digits as its factorization.

1130378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14790 (or 14774 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 1130378752 is about 33621.1057521908. The cubic root of 1130378752 is about 1041.6967961874.

The spelling of 1130378752 in words is "one billion, one hundred thirty million, three hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 512 604 1208 2416 4832 9664 14621 19328 29242 38656 58484 77312 116968 233936 467872 935744 1871488 2207771 3742976 4415542 7485952 8831084 17662168 35324336 70648672 141297344 282594688 565189376 1130378752