Search a number
-
+
2028033240 = 233531695333
BaseRepresentation
bin111100011100001…
…0101010011011000
312020100002202121020
41320320111103120
513123134030430
6533123442440
7101153666232
oct17070252330
95210082536
102028033240
11950854432
12487226420
1326421108c
141534b5252
15bd09db10
hex78e154d8

2028033240 has 64 divisors (see below), whose sum is σ = 6087160800. Its totient is φ = 540536832.

The previous prime is 2028033157. The next prime is 2028033247. The reversal of 2028033240 is 423308202.

It is a super-2 number, since 2×20280332402 = 8225837645089795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2028033240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028033247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377614 + ... + 382946.

Almost surely, 22028033240 is an apocalyptic number.

2028033240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028033240 is an abundant number, since it is smaller than the sum of its proper divisors (4059127560).

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

2028033240 is a wasteful number, since it uses less digits than its factorization.

2028033240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8516 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2028033240 is about 45033.6900553352. The cubic root of 2028033240 is about 1265.7803701469.

The spelling of 2028033240 in words is "two billion, twenty-eight million, thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3169 5333 6338 9507 10666 12676 15845 15999 19014 21332 25352 26665 31690 31998 38028 42664 47535 53330 63380 63996 76056 79995 95070 106660 126760 127992 159990 190140 213320 319980 380280 639960 16900277 33800554 50700831 67601108 84501385 101401662 135202216 169002770 202803324 253504155 338005540 405606648 507008310 676011080 1014016620 2028033240