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420440940 = 2232517137399
BaseRepresentation
bin11001000011110…
…110101101101100
31002022010121112200
4121003312231230
51330113102230
6105415301500
713263455223
oct3103665554
91068117480
10420440940
111a6367557
12b897a890
136914a62a
143dba5cba
1526da0160
hex190f6b6c

420440940 has 72 divisors (see below), whose sum is σ = 1350367200. Its totient is φ = 105521664.

The previous prime is 420440893. The next prime is 420440947. The reversal of 420440940 is 49044024.

It is not an unprimeable number, because it can be changed into a prime (420440947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65640 + ... + 71759.

It is an arithmetic number, because the mean of its divisors is an integer number (18755100).

Almost surely, 2420440940 is an apocalyptic number.

It is an amenable number.

420440940 is an abundant number, since it is smaller than the sum of its proper divisors (929926260).

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

420440940 is a wasteful number, since it uses less digits than its factorization.

420440940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137431 (or 137426 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 420440940 is about 20504.6565443072. The cubic root of 420440940 is about 749.1492219338.

Adding to 420440940 its reverse (49044024), we get a palindrome (469484964).

The spelling of 420440940 in words is "four hundred twenty million, four hundred forty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 137399 274798 412197 549596 686995 824394 1236591 1373990 1648788 2060985 2335783 2473182 2747980 4121970 4671566 4946364 6182955 7007349 8243940 9343132 11678915 12365910 14014698 21022047 23357830 24731820 28029396 35036745 42044094 46715660 70073490 84088188 105110235 140146980 210220470 420440940