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1362213916 = 227223449673
BaseRepresentation
bin101000100110001…
…1011110000011100
310111221020122012021
41101030123300130
510242211321131
6343100545524
745520425100
oct12114336034
93457218167
101362213916
11639a30528
123202522a4
131892ab84b
14cccb7900
157e8cde11
hex5131bc1c

1362213916 has 72 divisors (see below), whose sum is σ = 2904400800. Its totient is φ = 556351488.

The previous prime is 1362213913. The next prime is 1362213929. The reversal of 1362213916 is 6193122631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362213913) 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, 2023756 + ... + 2024428.

It is an arithmetic number, because the mean of its divisors is an integer number (40338900).

Almost surely, 21362213916 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 1362213916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452200400).

1362213916 is an abundant number, since it is smaller than the sum of its proper divisors (1542186884).

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

1362213916 is a wasteful number, since it uses less digits than its factorization.

1362213916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1154 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 1362213916 is about 36908.1822364635. The cubic root of 1362213916 is about 1108.5325184640.

The spelling of 1362213916 in words is "one billion, three hundred sixty-two million, two hundred thirteen thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 449 644 673 898 1127 1346 1796 2254 2692 3143 4508 4711 6286 9422 10327 12572 15479 18844 20654 22001 30958 32977 41308 44002 61916 65954 72289 88004 108353 131908 144578 216706 289156 302177 433412 506023 604354 758471 1012046 1208708 1516942 2024092 2115239 3033884 4230478 6950071 8460956 13900142 14806673 27800284 29613346 48650497 59226692 97300994 194601988 340553479 681106958 1362213916