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302130540 = 223351314271
BaseRepresentation
bin10010000000100…
…010010101101100
3210001111211012000
4102000202111230
51104321134130
645551412300
710326032025
oct2200422554
9701454160
10302130540
111455aa168
1285224090
134a79578a
142c1a9c4c
151b7d0260
hex1202256c

302130540 has 96 divisors (see below), whose sum is σ = 947358720. Its totient is φ = 79934400.

The previous prime is 302130529. The next prime is 302130547. The reversal of 302130540 is 45031203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (302130547) 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, 68605 + ... + 72875.

It is an arithmetic number, because the mean of its divisors is an integer number (9868320).

Almost surely, 2302130540 is an apocalyptic number.

302130540 is a gapful number since it is divisible by the number (30) 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 302130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473679360).

302130540 is an abundant number, since it is smaller than the sum of its proper divisors (645228180).

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

302130540 is a wasteful number, since it uses less digits than its factorization.

302130540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 302130540 is about 17381.9026576494. The cubic root of 302130540 is about 671.0139396522.

Adding to 302130540 its reverse (45031203), we get a palindrome (347161743).

The spelling of 302130540 in words is "three hundred two million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 131 135 180 262 270 393 524 540 655 786 1179 1310 1572 1965 2358 2620 3537 3930 4271 4716 5895 7074 7860 8542 11790 12813 14148 17084 17685 21355 23580 25626 35370 38439 42710 51252 64065 70740 76878 85420 115317 128130 153756 192195 230634 256260 384390 461268 559501 576585 768780 1119002 1153170 1678503 2238004 2306340 2797505 3357006 5035509 5595010 6714012 8392515 10071018 11190020 15106527 16785030 20142036 25177545 30213054 33570060 50355090 60426108 75532635 100710180 151065270 302130540