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1361531472 = 243722717851
BaseRepresentation
bin101000100100111…
…0101001001010000
310111212221222001120
41101021311021100
510242023001342
6343034202240
745511553340
oct12111651120
93455858046
101361531472
11639604824
1231bb83380
13189100032
14ccb7ad20
157e7e6aec
hex51275250

1361531472 has 80 divisors (see below), whose sum is σ = 4037693952. Its totient is φ = 387273600.

The previous prime is 1361531471. The next prime is 1361531473. The reversal of 1361531472 is 2741351631.

It is an interprime number because it is at equal distance from previous prime (1361531471) and next prime (1361531473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361531471) 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, 67347 + ... + 85197.

Almost surely, 21361531472 is an apocalyptic number.

1361531472 is a gapful number since it is divisible by the number (12) 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 1361531472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018846976).

1361531472 is an abundant number, since it is smaller than the sum of its proper divisors (2676162480).

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

1361531472 is a wasteful number, since it uses less digits than its factorization.

1361531472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18096 (or 18090 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 1361531472 is about 36898.9359196170. The cubic root of 1361531472 is about 1108.3473694393.

The spelling of 1361531472 in words is "one billion, three hundred sixty-one million, five hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 227 336 454 681 908 1362 1589 1816 2724 3178 3632 4767 5448 6356 9534 10896 12712 17851 19068 25424 35702 38136 53553 71404 76272 107106 124957 142808 214212 249914 285616 374871 428424 499828 749742 856848 999656 1499484 1999312 2998968 4052177 5997936 8104354 12156531 16208708 24313062 28365239 32417416 48626124 56730478 64834832 85095717 97252248 113460956 170191434 194504496 226921912 340382868 453843824 680765736 1361531472