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3090032136 = 23323110313441
BaseRepresentation
bin1011100000101110…
…0010011000001000
321222100102220012200
42320023202120020
522312022012021
61230342040200
7136400561022
oct27013423010
97870386180
103090032136
111346273974
12722a19060
133a3247ca9
14214561012
1513142a126
hexb82e2608

3090032136 has 96 divisors (see below), whose sum is σ = 8723320320. Its totient is φ = 987033600.

The previous prime is 3090032119. The next prime is 3090032137. The reversal of 3090032136 is 6312300903.

3090032136 is a `hidden beast` number, since 309 + 0 + 0 + 321 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (3090032137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223176 + ... + 236616.

It is an arithmetic number, because the mean of its divisors is an integer number (90867920).

Almost surely, 23090032136 is an apocalyptic number.

3090032136 is a gapful number since it is divisible by the number (36) 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 3090032136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361660160).

3090032136 is an abundant number, since it is smaller than the sum of its proper divisors (5633288184).

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

3090032136 is a wasteful number, since it uses less digits than its factorization.

3090032136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13587 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3090032136 is about 55588.0574943935. The cubic root of 3090032136 is about 1456.5352470485.

It can be divided in two parts, 30900 and 32136, that added together give a palindrome (63036).

The spelling of 3090032136 in words is "three billion, ninety million, thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 103 124 186 206 248 279 309 372 412 558 618 744 824 927 1116 1236 1854 2232 2472 3193 3708 6386 7416 9579 12772 13441 19158 25544 26882 28737 38316 40323 53764 57474 76632 80646 107528 114948 120969 161292 229896 241938 322584 416671 483876 833342 967752 1250013 1384423 1666684 2500026 2768846 3333368 3750039 4153269 5000052 5537692 7500078 8306538 10000104 11075384 12459807 15000156 16613076 24919614 30000312 33226152 42917113 49839228 85834226 99678456 128751339 171668452 257502678 343336904 386254017 515005356 772508034 1030010712 1545016068 3090032136