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2160974000 = 24531915657
BaseRepresentation
bin1000000011001101…
…1101100010110000
312120121020212001002
42000303131202300
513411202132000
6554233101132
7104356655513
oct20063354260
95517225032
102160974000
11a098a4829
125038577a8
13285919253
14166ddcd7a
15c9aad8d5
hex80cdd8b0

2160974000 has 80 divisors (see below), whose sum is σ = 5253520896. Its totient is φ = 859712000.

The previous prime is 2160973999. The next prime is 2160974017. The reversal of 2160974000 is 4790612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379172 + ... + 384828.

Almost surely, 22160974000 is an apocalyptic number.

2160974000 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 2160974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626760448).

2160974000 is an abundant number, since it is smaller than the sum of its proper divisors (3092546896).

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

2160974000 is a wasteful number, since it uses less digits than its factorization.

2160974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 2160974000 is about 46486.2775450993. The cubic root of 2160974000 is about 1292.8550829133.

The spelling of 2160974000 in words is "two billion, one hundred sixty million, nine hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 191 200 250 382 400 500 764 955 1000 1528 1910 2000 3056 3820 4775 5657 7640 9550 11314 15280 19100 22628 23875 28285 38200 45256 47750 56570 76400 90512 95500 113140 141425 191000 226280 282850 382000 452560 565700 707125 1080487 1131400 1414250 2160974 2262800 2828500 4321948 5402435 5657000 8643896 10804870 11314000 17287792 21609740 27012175 43219480 54024350 86438960 108048700 135060875 216097400 270121750 432194800 540243500 1080487000 2160974000