Search a number
-
+
1414031360 = 2115719727
BaseRepresentation
bin101010001001000…
…0110100000000000
310122112202020100212
41110102012200000
510343443000420
6352151333252
750020032260
oct12422064000
93575666325
101414031360
11666202765
12335681228
13196c52261
14d5b257a0
15842173c5
hex54486800

1414031360 has 96 divisors (see below), whose sum is σ = 3877735680. Its totient is φ = 484786176.

The previous prime is 1414031327. The next prime is 1414031383. The reversal of 1414031360 is 631304141.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61817 + ... + 81543.

It is an arithmetic number, because the mean of its divisors is an integer number (40393080).

Almost surely, 21414031360 is an apocalyptic number.

1414031360 is a gapful number since it is divisible by the number (10) 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 1414031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938867840).

1414031360 is an abundant number, since it is smaller than the sum of its proper divisors (2463704320).

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

1414031360 is an equidigital number, since it uses as much as digits as its factorization.

1414031360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19761 (or 19741 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1414031360 is about 37603.6083374987. The cubic root of 1414031360 is about 1122.4138415326.

The spelling of 1414031360 in words is "one billion, four hundred fourteen million, thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4480 5120 7168 8960 10240 14336 17920 19727 35840 39454 71680 78908 98635 138089 157816 197270 276178 315632 394540 552356 631264 690445 789080 1104712 1262528 1380890 1578160 2209424 2525056 2761780 3156320 4418848 5050112 5523560 6312640 8837696 10100224 11047120 12625280 17675392 20200448 22094240 25250560 35350784 40400896 44188480 50501120 70701568 88376960 101002240 141403136 176753920 202004480 282806272 353507840 707015680 1414031360