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2114624460 = 2235132711057
BaseRepresentation
bin111111000001010…
…1001101111001100
312110101001001102110
41332002221233030
513312320440320
6545455424020
7103255003614
oct17602515714
95411031373
102114624460
11995717723
124b0225010
1327913b5a0
14160bb5a44
15c59a55e0
hex7e0a9bcc

2114624460 has 48 divisors (see below), whose sum is σ = 6376408416. Its totient is φ = 520522752.

The previous prime is 2114624443. The next prime is 2114624467. The reversal of 2114624460 is 644264112.

It is a happy number.

It is a super-4 number, since 4×21146244604 (a number of 38 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2114624467) 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 15 ways as a sum of consecutive naturals, for example, 1354749 + ... + 1356308.

It is an arithmetic number, because the mean of its divisors is an integer number (132841842).

Almost surely, 22114624460 is an apocalyptic number.

2114624460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114624460 is an abundant number, since it is smaller than the sum of its proper divisors (4261783956).

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

2114624460 is a wasteful number, since it uses less digits than its factorization.

2114624460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711082 (or 2711080 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2114624460 is about 45985.0460476012. The cubic root of 2114624460 is about 1283.5449542888.

Adding to 2114624460 its reverse (644264112), we get a palindrome (2758888572).

The spelling of 2114624460 in words is "two billion, one hundred fourteen million, six hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2711057 5422114 8133171 10844228 13555285 16266342 27110570 32532684 35243741 40665855 54221140 70487482 81331710 105731223 140974964 162663420 176218705 211462446 352437410 422924892 528656115 704874820 1057312230 2114624460