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1362480028 = 2271321716937
BaseRepresentation
bin101000100110101…
…1100101110011100
310111221202011020021
41101031130232130
510242243330103
6343110401524
745522613660
oct12115345634
93457664207
101362480028
1163a0a2458
123203602a4
13189372a00
14ccd468a0
157e932bbd
hex5135cb9c

1362480028 has 72 divisors (see below), whose sum is σ = 3124451232. Its totient is φ = 507267072.

The previous prime is 1362480017. The next prime is 1362480029. The reversal of 1362480028 is 8200842631.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1362479975 and 1362480002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362480029) 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, 71976 + ... + 88912.

It is an arithmetic number, because the mean of its divisors is an integer number (43395156).

Almost surely, 21362480028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362480028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562225616).

1362480028 is an abundant number, since it is smaller than the sum of its proper divisors (1761971204).

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

1362480028 is a wasteful number, since it uses less digits than its factorization.

1362480028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16991 (or 16976 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1362480028 is about 36911.7871146874. The cubic root of 1362480028 is about 1108.6046986590.

The spelling of 1362480028 in words is "one billion, three hundred sixty-two million, four hundred eighty thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 169 182 221 238 338 364 442 476 676 884 1183 1547 2366 2873 3094 4732 5746 6188 11492 16937 20111 33874 40222 67748 80444 118559 220181 237118 287929 440362 474236 575858 880724 1151716 1541267 2015503 2862353 3082534 3743077 4031006 5724706 6165068 7486154 8062012 11449412 14972308 20036471 26201539 40072942 48660001 52403078 80145884 97320002 104806156 194640004 340620007 681240014 1362480028