Search a number
-
+
803090640 = 2435111072843
BaseRepresentation
bin101111110111100…
…011000011010000
32001222011020020210
4233313203003100
53121042400030
6211405004120
725621105062
oct5767430320
92058136223
10803090640
11382361980
121a4b53640
13ca4c5881
1478931732
154a787bb0
hex2fde30d0

803090640 has 160 divisors (see below), whose sum is σ = 2742253056. Its totient is φ = 192801280.

The previous prime is 803090627. The next prime is 803090641. The reversal of 803090640 is 46090308.

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

It is a junction number, because it is equal to n+sod(n) for n = 803090598 and 803090607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803090641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281059 + ... + 283901.

Almost surely, 2803090640 is an apocalyptic number.

803090640 is a gapful number since it is divisible by the number (80) 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 803090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371126528).

803090640 is an abundant number, since it is smaller than the sum of its proper divisors (1939162416).

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

803090640 is a wasteful number, since it uses less digits than its factorization.

803090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 803090640 is about 28338.8538935505. The cubic root of 803090640 is about 929.5116872250.

The spelling of 803090640 in words is "eight hundred three million, ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 107 110 120 132 165 176 214 220 240 264 321 330 428 440 528 535 642 660 856 880 1070 1177 1284 1320 1605 1712 2140 2354 2568 2640 2843 3210 3531 4280 4708 5136 5686 5885 6420 7062 8529 8560 9416 11372 11770 12840 14124 14215 17058 17655 18832 22744 23540 25680 28248 28430 31273 34116 35310 42645 45488 47080 56496 56860 62546 68232 70620 85290 93819 94160 113720 125092 136464 141240 156365 170580 187638 227440 250184 282480 304201 312730 341160 375276 469095 500368 608402 625460 682320 750552 912603 938190 1216804 1250920 1501104 1521005 1825206 1876380 2433608 2501840 3042010 3346211 3650412 3752760 4563015 4867216 6084020 6692422 7300824 7505520 9126030 10038633 12168040 13384844 14601648 16731055 18252060 20077266 24336080 26769688 33462110 36504120 40154532 50193165 53539376 66924220 73008240 80309064 100386330 133848440 160618128 200772660 267696880 401545320 803090640