Search a number
-
+
1356983472 = 2431324092
BaseRepresentation
bin101000011100001…
…1110110010110000
310111120101220101010
41100320132302300
510234341432342
6342352510520
745425112015
oct12070366260
93446356333
101356983472
11636a88849
1231a54b440
13188199c00
14cc31570c
157e1e929c
hex50e1ecb0

1356983472 has 90 divisors (see below), whose sum is σ = 3805244172. Its totient is φ = 416512512.

The previous prime is 1356983461. The next prime is 1356983489. The reversal of 1356983472 is 2743896531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3317604 + ... + 3318012.

Almost surely, 21356983472 is an apocalyptic number.

1356983472 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 1356983472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902622086).

1356983472 is an abundant number, since it is smaller than the sum of its proper divisors (2448260700).

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

1356983472 is an equidigital number, since it uses as much as digits as its factorization.

1356983472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 427 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 1356983472 is about 36837.2565753749. The cubic root of 1356983472 is about 1107.1119011381. Note that the first 3 decimals are identical.

Multiplying 1356983472 by its sum of digits (48), we get a square (65135206656 = 2552162).

1356983472 divided by its sum of digits (48) gives a square (28270489 = 53172).

The spelling of 1356983472 in words is "one billion, three hundred fifty-six million, nine hundred eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 409 507 624 676 818 1014 1227 1352 1636 2028 2454 2704 3272 4056 4908 5317 6544 8112 9816 10634 15951 19632 21268 31902 42536 63804 69121 85072 127608 138242 167281 207363 255216 276484 334562 414726 501843 552968 669124 829452 1003686 1105936 1338248 1658904 2007372 2174653 2676496 3317808 4014744 4349306 6523959 8029488 8698612 13047918 17397224 26095836 28270489 34794448 52191672 56540978 84811467 104383344 113081956 169622934 226163912 339245868 452327824 678491736 1356983472