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2134008492 = 2237114749139
BaseRepresentation
bin111111100110010…
…0110001010101100
312111201111212022120
41333030212022230
513332301232432
6551431112540
7103611526050
oct17714461254
95451455276
102134008492
119a5657190
124b6812750
13280167525
141635bdc60
15c7533c2c
hex7f3262ac

2134008492 has 96 divisors (see below), whose sum is σ = 6340239360. Its totient is φ = 542483520.

The previous prime is 2134008469. The next prime is 2134008493. The reversal of 2134008492 is 2948004312.

It is a super-2 number, since 2×21340084922 = 9107984487856228128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2134008493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18859 + ... + 67997.

It is an arithmetic number, because the mean of its divisors is an integer number (66044160).

Almost surely, 22134008492 is an apocalyptic number.

2134008492 is a gapful number since it is divisible by the number (22) 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 2134008492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680).

2134008492 is an abundant number, since it is smaller than the sum of its proper divisors (4206230868).

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

2134008492 is a wasteful number, since it uses less digits than its factorization.

2134008492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49211 (or 49209 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2134008492 is about 46195.3297639491. The cubic root of 2134008492 is about 1287.4549690098.

The spelling of 2134008492 in words is "two billion, one hundred thirty-four million, eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 462 517 564 658 924 987 1034 1316 1551 1974 2068 3102 3619 3948 6204 7238 10857 14476 21714 43428 49139 98278 147417 196556 294834 343973 540529 589668 687946 1031919 1081058 1375892 1621587 2063838 2162116 2309533 3243174 3783703 4127676 4619066 6486348 6928599 7567406 9238132 11351109 13857198 15134812 16166731 22702218 25404863 27714396 32333462 45404436 48500193 50809726 64666924 76214589 97000386 101619452 152429178 177834041 194000772 304858356 355668082 533502123 711336164 1067004246 2134008492