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1361021024 = 251131373371
BaseRepresentation
bin101000100011111…
…1000100001100000
310111212000000212002
41101013320201200
510241410133044
6343015223132
745504326216
oct12107704140
93455000762
101361021024
11639296270
1231b977aa8
13188c818ac
14cca86cb6
157e74574e
hex511f8860

1361021024 has 96 divisors (see below), whose sum is σ = 3099866112. Its totient is φ = 582336000.

The previous prime is 1361021023. The next prime is 1361021029. The reversal of 1361021024 is 4201201631.

It is a junction number, because it is equal to n+sod(n) for n = 1361020987 and 1361021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361021023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402059 + ... + 405429.

It is an arithmetic number, because the mean of its divisors is an integer number (32290272).

Almost surely, 21361021024 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 1361021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549933056).

1361021024 is an abundant number, since it is smaller than the sum of its proper divisors (1738845088).

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

1361021024 is a wasteful number, since it uses less digits than its factorization.

1361021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1361021024 is about 36892.0184321758. The cubic root of 1361021024 is about 1108.2088429769.

Adding to 1361021024 its reverse (4201201631), we get a palindrome (5562222655).

The spelling of 1361021024 in words is "one billion, three hundred sixty-one million, twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 62 74 88 124 148 176 248 296 341 352 407 496 592 682 814 992 1147 1184 1364 1628 2294 2728 3256 3371 4588 5456 6512 6742 9176 10912 12617 13024 13484 18352 25234 26968 36704 37081 50468 53936 74162 100936 104501 107872 124727 148324 201872 209002 249454 296648 403744 418004 498908 593296 836008 997816 1149511 1186592 1371997 1672016 1995632 2299022 2743994 3344032 3866537 3991264 4598044 5487988 7733074 9196088 10975976 15466148 18392176 21951952 30932296 36784352 42531907 43903904 61864592 85063814 123729184 170127628 340255256 680510512 1361021024