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2670140460 = 22351311532969
BaseRepresentation
bin1001111100100111…
…0001110000101100
320220002100012010010
42133021301300230
520432023443320
61120542213220
7123111551031
oct23711616054
96802305103
102670140460
111150252059
12626284210
13337260690
141b489d388
15109637ae0
hex9f271c2c

2670140460 has 96 divisors (see below), whose sum is σ = 8061197760. Its totient is φ = 656474112.

The previous prime is 2670140387. The next prime is 2670140467. The reversal of 2670140460 is 640410762.

2670140460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26701404602 = 14259300152258023200, which contains 22 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 (2670140467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897856 + ... + 900824.

It is an arithmetic number, because the mean of its divisors is an integer number (83970810).

Almost surely, 22670140460 is an apocalyptic number.

2670140460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2670140460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030598880).

2670140460 is an abundant number, since it is smaller than the sum of its proper divisors (5391057300).

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

2670140460 is a wasteful number, since it uses less digits than its factorization.

2670140460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4145 counting only the distinct ones).

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

The square root of 2670140460 is about 51673.4018620799. The cubic root of 2670140460 is about 1387.3244358660.

It can be divided in two parts, 26701 and 40460, that added together give a triangular number (67161 = T366).

The spelling of 2670140460 in words is "two billion, six hundred seventy million, one hundred forty 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 1153 2306 2969 3459 4612 5765 5938 6918 8907 11530 11876 13836 14845 14989 17295 17814 23060 29690 29978 34590 35628 38597 44535 44967 59380 59956 69180 74945 77194 89070 89934 115791 149890 154388 178140 179868 192985 224835 231582 299780 385970 449670 463164 578955 771940 899340 1157910 2315820 3423257 6846514 10269771 13693028 17116285 20539542 34232570 41079084 44502341 51348855 68465140 89004682 102697710 133507023 178009364 205395420 222511705 267014046 445023410 534028092 667535115 890046820 1335070230 2670140460