Search a number
-
+
28180740 = 22357229293
BaseRepresentation
bin110101110000…
…0000100000100
31222000201201010
41223200010010
524203240430
62444002220
7461350410
oct153400404
958021633
1028180740
11149a8675
129530370
135ab8bc3
143a57d40
152719cb0
hex1ae0104

28180740 has 96 divisors (see below), whose sum is σ = 90881280. Its totient is φ = 6391296.

The previous prime is 28180699. The next prime is 28180753. The reversal of 28180740 is 4708182.

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 = 28180698 and 28180707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96034 + ... + 96326.

It is an arithmetic number, because the mean of its divisors is an integer number (946680).

Almost surely, 228180740 is an apocalyptic number.

28180740 is a gapful number since it is divisible by the number (20) 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 28180740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45440640).

28180740 is an abundant number, since it is smaller than the sum of its proper divisors (62700540).

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

28180740 is a wasteful number, since it uses less digits than its factorization.

28180740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 28180740 is about 5308.5534752887. The cubic root of 28180740 is about 304.3108690943.

It can be divided in two parts, 28180 and 740, that added together give a triangular number (28920 = T240).

The spelling of 28180740 in words is "twenty-eight million, one hundred eighty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 229 293 420 458 586 687 879 916 1145 1172 1374 1465 1603 1758 2051 2290 2748 2930 3206 3435 3516 4102 4395 4580 4809 5860 6153 6412 6870 8015 8204 8790 9618 10255 12306 13740 16030 17580 19236 20510 24045 24612 30765 32060 41020 48090 61530 67097 96180 123060 134194 201291 268388 335485 402582 469679 670970 805164 939358 1006455 1341940 1409037 1878716 2012910 2348395 2818074 4025820 4696790 5636148 7045185 9393580 14090370 28180740