Search a number
-
+
2127339040 = 25531428899
BaseRepresentation
bin111111011001100…
…1001111000100000
312111020222000112211
41332303021320200
513324044322130
6551032131504
7103501040431
oct17663117040
95436860484
102127339040
119a1911342
124b4536b94
1327b9708c8
14162765488
15c6b67a2a
hex7ecc9e20

2127339040 has 48 divisors (see below), whose sum is σ = 5187974400. Its totient is φ = 823484160.

The previous prime is 2127339029. The next prime is 2127339059. The reversal of 2127339040 is 409337212.

It is a super-2 number, since 2×21273390402 = 9051142782216243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2127338993 and 2127339011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209490 + ... + 219409.

It is an arithmetic number, because the mean of its divisors is an integer number (108082800).

Almost surely, 22127339040 is an apocalyptic number.

2127339040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2127339040 is an abundant number, since it is smaller than the sum of its proper divisors (3060635360).

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

2127339040 is a wasteful number, since it uses less digits than its factorization.

2127339040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428945 (or 428937 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 2127339040 is about 46123.0857597364. The cubic root of 2127339040 is about 1286.1123345552.

The spelling of 2127339040 in words is "two billion, one hundred twenty-seven million, three hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 428899 857798 1715596 2144495 3431192 4288990 6862384 8577980 13295869 13724768 17155960 26591738 34311920 53183476 66479345 68623840 106366952 132958690 212733904 265917380 425467808 531834760 1063669520 2127339040