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2135604000 = 25353177967
BaseRepresentation
bin111111101001010…
…1011101100100000
312111211111220221110
41333102223230200
513333203312000
6551525223320
7103631222505
oct17722535440
95454456843
102135604000
119a6546992
124b7261b40
132805a580a
141638b74ac
15c774b850
hex7f4abb20

2135604000 has 96 divisors (see below), whose sum is σ = 6996278016. Its totient is φ = 569491200.

The previous prime is 2135603983. The next prime is 2135604019. The reversal of 2135604000 is 4065312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76984 + ... + 100983.

It is an arithmetic number, because the mean of its divisors is an integer number (72877896).

Almost surely, 22135604000 is an apocalyptic number.

2135604000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135604000 is an abundant number, since it is smaller than the sum of its proper divisors (4860674016).

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

2135604000 is a wasteful number, since it uses less digits than its factorization.

2135604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177995 (or 177977 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2135604000 is about 46212.5956855920. The cubic root of 2135604000 is about 1287.7757476431.

Adding to 2135604000 its reverse (4065312), we get a palindrome (2139669312).

The spelling of 2135604000 in words is "two billion, one hundred thirty-five million, six hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 177967 355934 533901 711868 889835 1067802 1423736 1779670 2135604 2669505 2847472 3559340 4271208 4449175 5339010 5694944 7118680 8542416 8898350 10678020 13347525 14237360 17084832 17796700 21356040 22245875 26695050 28474720 35593400 42712080 44491750 53390100 66737625 71186800 85424160 88983500 106780200 133475250 142373600 177967000 213560400 266950500 355934000 427120800 533901000 711868000 1067802000 2135604000