Search a number
-
+
402066840 = 23357478651
BaseRepresentation
bin10111111101110…
…000110110011000
31001000120010000110
4113331300312120
51310412114330
6103521404320
712651340350
oct2775606630
91030503013
10402066840
11196a5784a
12b27996a0
13653b6296
143b581b60
1525470db0
hex17f70d98

402066840 has 64 divisors (see below), whose sum is σ = 1378517760. Its totient is φ = 91900800.

The previous prime is 402066829. The next prime is 402066853. The reversal of 402066840 is 48660204.

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 = 402066798 and 402066807.

It is a congruent number.

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, 238486 + ... + 240165.

It is an arithmetic number, because the mean of its divisors is an integer number (21539340).

Almost surely, 2402066840 is an apocalyptic number.

402066840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402066840 is an abundant number, since it is smaller than the sum of its proper divisors (976450920).

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

402066840 is a wasteful number, since it uses less digits than its factorization.

402066840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478672 (or 478668 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 402066840 is about 20051.6044245841. The cubic root of 402066840 is about 738.0731708210.

The spelling of 402066840 in words is "four hundred two million, sixty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 478651 957302 1435953 1914604 2393255 2871906 3350557 3829208 4786510 5743812 6701114 7179765 9573020 10051671 11487624 13402228 14359530 16752785 19146040 20103342 26804456 28719060 33505570 40206684 50258355 57438120 67011140 80413368 100516710 134022280 201033420 402066840