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2090806272 = 21032297823
BaseRepresentation
bin111110010011111…
…0010110000000000
312101201012222000100
41330213302300000
513240221300042
6543245122400
7102545363052
oct17447626000
95351188010
102090806272
11983229775
124a4259400
1327421c299
1415b9758d2
15c384d24c
hex7c9f2c00

2090806272 has 132 divisors (see below), whose sum is σ = 6246133920. Its totient is φ = 672817152.

The previous prime is 2090806261. The next prime is 2090806313. The reversal of 2090806272 is 2726080902.

2090806272 is a `hidden beast` number, since 20 + 9 + 0 + 8 + 0 + 627 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 263353 + ... + 271175.

Almost surely, 22090806272 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 2090806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123066960).

2090806272 is an abundant number, since it is smaller than the sum of its proper divisors (4155327648).

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

2090806272 is a wasteful number, since it uses less digits than its factorization.

2090806272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2090806272 is about 45725.3351217900. The cubic root of 2090806272 is about 1278.7076539613.

The spelling of 2090806272 in words is "two billion, ninety million, eight hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 3072 3712 4176 4608 5568 7424 7823 8352 9216 11136 14848 15646 16704 22272 23469 29696 31292 33408 44544 46938 62584 66816 70407 89088 93876 125168 133632 140814 187752 226867 250336 267264 281628 375504 453734 500672 563256 680601 751008 907468 1001344 1126512 1361202 1502016 1814936 2002688 2041803 2253024 2722404 3004032 3629872 4005376 4083606 4506048 5444808 6008064 7259744 8010752 8167212 9012096 10889616 12016128 14519488 16334424 18024192 21779232 24032256 29038976 32668848 36048384 43558464 58077952 65337696 72096768 87116928 116155904 130675392 174233856 232311808 261350784 348467712 522701568 696935424 1045403136 2090806272