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2121151928 = 237671135003
BaseRepresentation
bin111111001101110…
…0011010110111000
312110211022200102112
41332123203112320
513321003330203
6550251351452
7103364331260
oct17633432670
95424280375
102121151928
11999375925
124b2452588
1327a5b56ac
141619d47a0
15c63446d8
hex7e6e35b8

2121151928 has 64 divisors (see below), whose sum is σ = 4654920960. Its totient is φ = 887394816.

The previous prime is 2121151891. The next prime is 2121151939. The reversal of 2121151928 is 8291511212.

It is a junction number, because it is equal to n+sod(n) for n = 2121151894 and 2121151903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421475 + ... + 426477.

It is an arithmetic number, because the mean of its divisors is an integer number (72733140).

Almost surely, 22121151928 is an apocalyptic number.

2121151928 is a gapful number since it is divisible by the number (28) 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 2121151928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327460480).

2121151928 is an abundant number, since it is smaller than the sum of its proper divisors (2533769032).

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

2121151928 is a wasteful number, since it uses less digits than its factorization.

2121151928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5192 counting only the distinct ones).

The product of its digits is 2880, while the sum is 32.

The square root of 2121151928 is about 46055.9651728199. The cubic root of 2121151928 is about 1284.8642890386.

The spelling of 2121151928 in words is "two billion, one hundred twenty-one million, one hundred fifty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 67 113 134 226 268 452 469 536 791 904 938 1582 1876 3164 3752 5003 6328 7571 10006 15142 20012 30284 35021 40024 52997 60568 70042 105994 140084 211988 280168 335201 423976 565339 670402 1130678 1340804 2261356 2346407 2681608 3957373 4522712 4692814 7914746 9385628 15829492 18771256 31658984 37877713 75755426 151510852 265143991 303021704 530287982 1060575964 2121151928