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2164360740 = 2235893591129
BaseRepresentation
bin1000000100000001…
…1000011000100100
312120211121220202220
42001000120120210
513413034020430
6554433432340
7104430522423
oct20100303044
95524556686
102164360740
11a107a8293
12504a0b6b0
13286533939
141676412ba
15ca02c110
hex81018624

2164360740 has 96 divisors (see below), whose sum is σ = 6150816000. Its totient is φ = 568584192.

The previous prime is 2164360727. The next prime is 2164360747. The reversal of 2164360740 is 470634612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2164360747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916496 + ... + 1917624.

It is an arithmetic number, because the mean of its divisors is an integer number (64071000).

Almost surely, 22164360740 is an apocalyptic number.

2164360740 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 2164360740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075408000).

2164360740 is an abundant number, since it is smaller than the sum of its proper divisors (3986455260).

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

2164360740 is a wasteful number, since it uses less digits than its factorization.

2164360740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2164360740 is about 46522.6905928709. The cubic root of 2164360740 is about 1293.5301301542.

The spelling of 2164360740 in words is "two billion, one hundred sixty-four million, three hundred sixty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 359 445 534 718 890 1068 1077 1129 1335 1436 1780 1795 2154 2258 2670 3387 3590 4308 4516 5340 5385 5645 6774 7180 10770 11290 13548 16935 21540 22580 31951 33870 63902 67740 95853 100481 127804 159755 191706 200962 301443 319510 383412 401924 405311 479265 502405 602886 639020 810622 958530 1004810 1205772 1215933 1507215 1621244 1917060 2009620 2026555 2431866 3014430 4053110 4863732 6028860 6079665 8106220 12159330 24318660 36072679 72145358 108218037 144290716 180363395 216436074 360726790 432872148 541090185 721453580 1082180370 2164360740