Search a number
-
+
1335283290 = 2325116122111
BaseRepresentation
bin100111110010110…
…1100111001011010
310110001120102022200
41033211230321122
510213313031130
6340255431030
745042502125
oct11745547132
93401512280
101335283290
11625807110
12313225476
1318383c973
14c94a73bc
157c35e760
hex4f96ce5a

1335283290 has 96 divisors (see below), whose sum is σ = 3849610752. Its totient is φ = 318384000.

The previous prime is 1335283283. The next prime is 1335283303. The reversal of 1335283290 is 923825331.

1335283290 is a `hidden beast` number, since 13 + 3 + 528 + 32 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49335 + ... + 71445.

It is an arithmetic number, because the mean of its divisors is an integer number (40100112).

Almost surely, 21335283290 is an apocalyptic number.

1335283290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1335283290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924805376).

1335283290 is an abundant number, since it is smaller than the sum of its proper divisors (2514327462).

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

1335283290 is a wasteful number, since it uses less digits than its factorization.

1335283290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22196 (or 22193 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1335283290 is about 36541.5282931626. The cubic root of 1335283290 is about 1101.1787062019.

The spelling of 1335283290 in words is "one billion, three hundred thirty-five million, two hundred eighty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 61 66 90 99 110 122 165 183 198 305 330 366 495 549 610 671 915 990 1098 1342 1830 2013 2745 3355 4026 5490 6039 6710 10065 12078 20130 22111 30195 44222 60390 66333 110555 132666 198999 221110 243221 331665 397998 486442 663330 729663 994995 1216105 1348771 1459326 1989990 2188989 2432210 2697542 3648315 4046313 4377978 6743855 7296630 8092626 10944945 12138939 13487710 14836481 20231565 21889890 24277878 29672962 40463130 44509443 60694695 74182405 89018886 121389390 133528329 148364810 222547215 267056658 445094430 667641645 1335283290