Search a number
-
+
1335042500 = 225411431129
BaseRepresentation
bin100111110010011…
…0010000111000100
310110001010012000112
41033210302013010
510213232330000
6340250332152
745040450121
oct11744620704
93401105015
101335042500
11625662210
1231312a058
1318378719c
14c9443748
157c313235
hex4f9321c4

1335042500 has 120 divisors (see below), whose sum is σ = 3261830880. Its totient is φ = 473760000.

The previous prime is 1335042479. The next prime is 1335042503. The reversal of 1335042500 is 52405331.

It is not an unprimeable number, because it can be changed into a prime (1335042503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1181936 + ... + 1183064.

It is an arithmetic number, because the mean of its divisors is an integer number (27181924).

Almost surely, 21335042500 is an apocalyptic number.

1335042500 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 1335042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630915440).

1335042500 is an abundant number, since it is smaller than the sum of its proper divisors (1926788380).

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

1335042500 is a wasteful number, since it uses less digits than its factorization.

1335042500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1335042500 is about 36538.2334000975. The cubic root of 1335042500 is about 1101.1125108204.

Adding to 1335042500 its reverse (52405331), we get a palindrome (1387447831).

The spelling of 1335042500 in words is "one billion, three hundred thirty-five million, forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 125 172 215 220 250 275 430 473 500 550 625 860 946 1075 1100 1129 1250 1375 1892 2150 2258 2365 2500 2750 4300 4516 4730 5375 5500 5645 6875 9460 10750 11290 11825 12419 13750 21500 22580 23650 24838 26875 27500 28225 47300 48547 49676 53750 56450 59125 62095 97094 107500 112900 118250 124190 141125 194188 236500 242735 248380 282250 295625 310475 485470 534017 564500 591250 620950 705625 970940 1068034 1182500 1213675 1241900 1411250 1552375 2136068 2427350 2670085 2822500 3104750 4854700 5340170 6068375 6209500 7761875 10680340 12136750 13350425 15523750 24273500 26700850 30341875 31047500 53401700 60683750 66752125 121367500 133504250 267008500 333760625 667521250 1335042500