Search a number
-
+
33520890 = 235132337101
BaseRepresentation
bin111111111011…
…1110011111010
32100002001000110
41333313303322
532040132030
63154245150
7554631354
oct177676372
970061013
1033520890
1117a15817
12b2867b6
136c38760
1446480d4
152e221b0
hex1ff7cfa

33520890 has 128 divisors (see below), whose sum is σ = 93768192. Its totient is φ = 7603200.

The previous prime is 33520859. The next prime is 33520891. The reversal of 33520890 is 9802533.

It is a happy number.

It is a super-2 number, since 2×335208902 = 2247300132784200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (33520891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331840 + ... + 331940.

It is an arithmetic number, because the mean of its divisors is an integer number (732564).

Almost surely, 233520890 is an apocalyptic number.

33520890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33520890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46884096).

33520890 is an abundant number, since it is smaller than the sum of its proper divisors (60247302).

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

33520890 is a wasteful number, since it uses less digits than its factorization.

33520890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 33520890 is about 5789.7227912915. The cubic root of 33520890 is about 322.4322795130.

The spelling of 33520890 in words is "thirty-three million, five hundred twenty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 37 39 46 65 69 74 78 101 111 115 130 138 185 195 202 222 230 299 303 345 370 390 481 505 555 598 606 690 851 897 962 1010 1110 1313 1443 1495 1515 1702 1794 2323 2405 2553 2626 2886 2990 3030 3737 3939 4255 4485 4646 4810 5106 6565 6969 7215 7474 7878 8510 8970 11063 11211 11615 12765 13130 13938 14430 18685 19695 22126 22422 23230 25530 30199 33189 34845 37370 39390 48581 55315 56055 60398 66378 69690 85951 90597 97162 110630 112110 145743 150995 165945 171902 181194 242905 257853 291486 301990 331890 429755 452985 485810 515706 728715 859510 905970 1117363 1289265 1457430 2234726 2578530 3352089 5586815 6704178 11173630 16760445 33520890