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2685678900 = 2235256315901
BaseRepresentation
bin1010000000010100…
…0011010100110100
320221011120121211220
42200011003110310
521000013211100
61122255230340
7123360615432
oct24005032464
96834517756
102685678900
111158aa5343
1262b5183b0
1333a541118
141b6985d52
1510aba6aa0
hexa0143534

2685678900 has 72 divisors (see below), whose sum is σ = 7784855904. Its totient is φ = 714864000.

The previous prime is 2685678889. The next prime is 2685678901. The reversal of 2685678900 is 98765862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685678901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160950 + ... + 176850.

Almost surely, 22685678900 is an apocalyptic number.

2685678900 is a gapful number since it is divisible by the number (20) 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 2685678900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892427952).

2685678900 is an abundant number, since it is smaller than the sum of its proper divisors (5099177004).

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

2685678900 is a wasteful number, since it uses less digits than its factorization.

2685678900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16481 (or 16474 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 2685678900 is about 51823.5361587764. The cubic root of 2685678900 is about 1390.0103341019.

The spelling of 2685678900 in words is "two billion, six hundred eighty-five million, six hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 563 1126 1689 2252 2815 3378 5630 6756 8445 11260 14075 15901 16890 28150 31802 33780 42225 47703 56300 63604 79505 84450 95406 159010 168900 190812 238515 318020 397525 477030 795050 954060 1192575 1590100 2385150 4770300 8952263 17904526 26856789 35809052 44761315 53713578 89522630 107427156 134283945 179045260 223806575 268567890 447613150 537135780 671419725 895226300 1342839450 2685678900