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2140433120 = 25571911101
BaseRepresentation
bin111111110010100…
…0110101011100000
312112011121021020202
41333211012223200
513340422324440
6552220524332
7104020244540
oct17745065340
95464537222
102140433120
119a92450a1
124b89b06a8
132815a6897
141643b3320
15c7da2615
hex7f946ae0

2140433120 has 48 divisors (see below), whose sum is σ = 5779172448. Its totient is φ = 733862400.

The previous prime is 2140433117. The next prime is 2140433123. The reversal of 2140433120 is 213340412.

It is an interprime number because it is at equal distance from previous prime (2140433117) and next prime (2140433123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2140433092 and 2140433101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140433123) by changing a digit.

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, 954431 + ... + 956670.

It is an arithmetic number, because the mean of its divisors is an integer number (120399426).

Almost surely, 22140433120 is an apocalyptic number.

2140433120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140433120 is an abundant number, since it is smaller than the sum of its proper divisors (3638739328).

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

2140433120 is a wasteful number, since it uses less digits than its factorization.

2140433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911123 (or 1911115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2140433120 is about 46264.8151406660. The cubic root of 2140433120 is about 1288.7456749758.

Adding to 2140433120 its reverse (213340412), we get a palindrome (2353773532).

The spelling of 2140433120 in words is "two billion, one hundred forty million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1911101 3822202 7644404 9555505 13377707 15288808 19111010 26755414 30577616 38222020 53510828 61155232 66888535 76444040 107021656 133777070 152888080 214043312 267554140 305776160 428086624 535108280 1070216560 2140433120