Search a number
-
+
9130295280 = 2435231654039
BaseRepresentation
bin10001000000011010…
…10011111111110000
3212120022021001112110
420200031103333300
5122144323422110
64105553525320
7442154141451
oct104015237760
925508231473
109130295280
1139658a4a87
121929873840
13b267702b2
14628851128
15386867a20
hex220353ff0

9130295280 has 80 divisors (see below), whose sum is σ = 29534538240. Its totient is φ = 2328885504.

The previous prime is 9130295261. The next prime is 9130295287. The reversal of 9130295280 is 825920319.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9130295287) 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, 821500 + ... + 832539.

It is an arithmetic number, because the mean of its divisors is an integer number (369181728).

Almost surely, 29130295280 is an apocalyptic number.

It is an amenable number.

9130295280 is an abundant number, since it is smaller than the sum of its proper divisors (20404242960).

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

9130295280 is a wasteful number, since it uses less digits than its factorization.

9130295280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654078 (or 1654072 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 9130295280 is about 95552.5786151269. The cubic root of 9130295280 is about 2090.0737350267.

The spelling of 9130295280 in words is "nine billion, one hundred thirty million, two hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 1654039 3308078 4962117 6616156 8270195 9924234 13232312 16540390 19848468 24810585 26464624 33080780 38042897 39696936 49621170 66161560 76085794 79393872 99242340 114128691 132323120 152171588 190214485 198484680 228257382 304343176 380428970 396969360 456514764 570643455 608686352 760857940 913029528 1141286910 1521715880 1826059056 2282573820 3043431760 4565147640 9130295280