Search a number
-
+
700993040 = 24511796583
BaseRepresentation
bin101001110010000…
…100111000010000
31210212001010200012
4221302010320100
52413423234130
6153320414052
723241225326
oct5162047020
91725033605
10700993040
1132a7684a0
12176917328
13b22c93a7
1469155d16
154181b995
hex29c84e10

700993040 has 40 divisors (see below), whose sum is σ = 1777975488. Its totient is φ = 254906240.

The previous prime is 700993039. The next prime is 700993043. The reversal of 700993040 is 40399007.

It is a happy number.

700993040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×7009930403 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 700992988 and 700993006.

It is not an unprimeable number, because it can be changed into a prime (700993043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397412 + ... + 399171.

Almost surely, 2700993040 is an apocalyptic number.

It is an amenable number.

700993040 is an abundant number, since it is smaller than the sum of its proper divisors (1076982448).

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

700993040 is a wasteful number, since it uses less digits than its factorization.

700993040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796607 (or 796601 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 700993040 is about 26476.2731516352. The cubic root of 700993040 is about 888.3236720149.

The spelling of 700993040 in words is "seven hundred million, nine hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 796583 1593166 3186332 3982915 6372664 7965830 8762413 12745328 15931660 17524826 31863320 35049652 43812065 63726640 70099304 87624130 140198608 175248260 350496520 700993040