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2390735040 = 263519131071
BaseRepresentation
bin1000111001111111…
…1011100011000000
320011121120220221020
42032133323203000
514344012010130
61033121425440
7113146625001
oct21637734300
96147526836
102390735040
111017564691
1256879b280
132c13c3825
1418972b1a8
15ded45e10
hex8e7fb8c0

2390735040 has 112 divisors (see below), whose sum is σ = 7990149120. Its totient is φ = 603970560.

The previous prime is 2390735033. The next prime is 2390735063. The reversal of 2390735040 is 405370932.

It is a happy number.

It is a super-2 number, since 2×23907350402 = 11431228062967603200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2390734992 and 2390735010.

It is an unprimeable number.

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, 47296 + ... + 83775.

Almost surely, 22390735040 is an apocalyptic number.

2390735040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2390735040 is an abundant number, since it is smaller than the sum of its proper divisors (5599414080).

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

2390735040 is a wasteful number, since it uses less digits than its factorization.

2390735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131110 (or 131100 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 2390735040 is about 48895.1433171026. The cubic root of 2390735040 is about 1337.1408257903.

The spelling of 2390735040 in words is "two billion, three hundred ninety million, seven hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 131071 262142 393213 524284 655355 786426 1048568 1310710 1572852 1966065 2097136 2490349 2621420 3145704 3932130 4194272 4980698 5242840 6291408 7471047 7864260 8388544 9961396 10485680 12451745 12582816 14942094 15728520 19922792 20971360 24903490 25165632 29884188 31457040 37355235 39845584 41942720 49806980 59768376 62914080 74710470 79691168 99613960 119536752 125828160 149420940 159382336 199227920 239073504 298841880 398455840 478147008 597683760 796911680 1195367520 2390735040