Search a number
-
+
1130296608 = 253274779151
BaseRepresentation
bin100001101011110…
…1111010100100000
32220202212000110100
41003113233110200
54303323442413
6304054102400
740003235250
oct10327572440
92822760410
101130296608
11530028631
1227664aa00
1315022a97c
14aa187960
156936ca73
hex435ef520

1130296608 has 288 divisors, whose sum is σ = 3824271360. Its totient is φ = 310003200.

The previous prime is 1130296591. The next prime is 1130296619. The reversal of 1130296608 is 8066920311.

1130296608 is a `hidden beast` number, since 11 + 30 + 2 + 9 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7485333 + ... + 7485483.

It is an arithmetic number, because the mean of its divisors is an integer number (13278720).

Almost surely, 21130296608 is an apocalyptic number.

1130296608 is a gapful number since it is divisible by the number (18) 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 1130296608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912135680).

1130296608 is an abundant number, since it is smaller than the sum of its proper divisors (2693974752).

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

1130296608 is a wasteful number, since it uses less digits than its factorization.

1130296608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1130296608 is about 33619.8841163975. The cubic root of 1130296608 is about 1041.6715623990.

The spelling of 1130296608 in words is "one billion, one hundred thirty million, two hundred ninety-six thousand, six hundred eight".