Search a number
-
+
2672014440 = 2335171309811
BaseRepresentation
bin1001111101000011…
…1011010001101000
320220012212101201210
42133100323101220
520433013430230
61121050313120
7123133514364
oct23720732150
96805771653
102672014440
111151311aa7
12626a287a0
13337768644
141b4c2a2a4
151098a7eb0
hex9f43b468

2672014440 has 64 divisors (see below), whose sum is σ = 8487581760. Its totient is φ = 670622720.

The previous prime is 2672014439. The next prime is 2672014447. The reversal of 2672014440 is 444102762.

2672014440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26720144402 = 14279322335137027200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2672014398 and 2672014407.

It is not an unprimeable number, because it can be changed into a prime (2672014447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652866 + ... + 656945.

It is an arithmetic number, because the mean of its divisors is an integer number (132618465).

Almost surely, 22672014440 is an apocalyptic number.

2672014440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672014440 is an abundant number, since it is smaller than the sum of its proper divisors (5815567320).

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

2672014440 is a wasteful number, since it uses less digits than its factorization.

2672014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309842 (or 1309838 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2672014440 is about 51691.5316081851. The cubic root of 2672014440 is about 1387.6489144610.

The spelling of 2672014440 in words is "two billion, six hundred seventy-two million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 1309811 2619622 3929433 5239244 6549055 7858866 10478488 13098110 15717732 19647165 22266787 26196220 31435464 39294330 44533574 52392440 66800361 78588660 89067148 111333935 133600722 157177320 178134296 222667870 267201444 334001805 445335740 534402888 668003610 890671480 1336007220 2672014440