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1335230040 = 233523607797
BaseRepresentation
bin100111110010101…
…1111111001011000
310110001110201021110
41033211133321120
510213304330130
6340254340320
745042160644
oct11745377130
93401421243
101335230040
11625780101
123131ba6a0
13183821661
14c9491c24
157c34dab0
hex4f95fe58

1335230040 has 128 divisors (see below), whose sum is σ = 4191989760. Its totient is φ = 339592704.

The previous prime is 1335230011. The next prime is 1335230041. The reversal of 1335230040 is 400325331.

It is a junction number, because it is equal to n+sod(n) for n = 1335229989 and 1335230016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335230041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674922 + ... + 1675718.

It is an arithmetic number, because the mean of its divisors is an integer number (32749920).

Almost surely, 21335230040 is an apocalyptic number.

1335230040 is a gapful number since it is divisible by the number (10) 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 1335230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095994880).

1335230040 is an abundant number, since it is smaller than the sum of its proper divisors (2856759720).

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

1335230040 is a wasteful number, since it uses less digits than its factorization.

1335230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 1335230040 is about 36540.7996628426. The cubic root of 1335230040 is about 1101.1640679734.

Adding to 1335230040 its reverse (400325331), we get a palindrome (1735555371).

The spelling of 1335230040 in words is "one billion, three hundred thirty-five million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 607 690 797 920 1214 1380 1594 1821 2391 2428 2760 3035 3188 3642 3985 4782 4856 6070 6376 7284 7970 9105 9564 11955 12140 13961 14568 15940 18210 18331 19128 23910 24280 27922 31880 36420 36662 41883 47820 54993 55844 69805 72840 73324 83766 91655 95640 109986 111688 139610 146648 167532 183310 209415 219972 274965 279220 335064 366620 418830 439944 483779 549930 558440 733240 837660 967558 1099860 1451337 1675320 1935116 2199720 2418895 2902674 3870232 4837790 5805348 7256685 9675580 11126917 11610696 14513370 19351160 22253834 29026740 33380751 44507668 55634585 58053480 66761502 89015336 111269170 133523004 166903755 222538340 267046008 333807510 445076680 667615020 1335230040