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2141427360 = 25354461307
BaseRepresentation
bin111111110100011…
…1001011010100000
312112020110210002110
41333220321122200
513341201133420
6552254115320
7104031555312
oct17750713240
95466423073
102141427360
119a9864086
124b91abb40
132818642a7
141645917b2
15c7eebee0
hex7fa396a0

2141427360 has 48 divisors (see below), whose sum is σ = 6745497696. Its totient is φ = 571047168.

The previous prime is 2141427359. The next prime is 2141427383. The reversal of 2141427360 is 637241412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21414273602 = 9171422276313139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 2230174 + ... + 2231133.

It is an arithmetic number, because the mean of its divisors is an integer number (140531202).

Almost surely, 22141427360 is an apocalyptic number.

2141427360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141427360 is an abundant number, since it is smaller than the sum of its proper divisors (4604070336).

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

2141427360 is a wasteful number, since it uses less digits than its factorization.

2141427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461325 (or 4461317 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2141427360 is about 46275.5589917615. The cubic root of 2141427360 is about 1288.9451866456.

Adding to 2141427360 its reverse (637241412), we get a palindrome (2778668772).

The spelling of 2141427360 in words is "two billion, one hundred forty-one million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4461307 8922614 13383921 17845228 22306535 26767842 35690456 44613070 53535684 66919605 71380912 89226140 107071368 133839210 142761824 178452280 214142736 267678420 356904560 428285472 535356840 713809120 1070713680 2141427360