Search a number
-
+
1461703680 = 21032531721
BaseRepresentation
bin101011100011111…
…1101010000000000
310202212110020111100
41113013331100000
510443144004210
6401013214400
751136163523
oct12707752000
93685406440
101461703680
11690103678
12349631400
131a3aa4028
14dc1b4bba
15884d25c0
hex571fd400

1461703680 has 132 divisors (see below), whose sum is σ = 5064924852. Its totient is φ = 389775360.

The previous prime is 1461703679. The next prime is 1461703681. The reversal of 1461703680 is 863071641.

1461703680 is a `hidden beast` number, since 1 + 4 + 617 + 0 + 36 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1461703679) and next prime (1461703681).

It can be written as a sum of positive squares in 2 ways, for example, as 227165184 + 1234538496 = 15072^2 + 35136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461703681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30220 + ... + 61940.

Almost surely, 21461703680 is an apocalyptic number.

1461703680 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 1461703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532462426).

1461703680 is an abundant number, since it is smaller than the sum of its proper divisors (3603221172).

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

1461703680 is a wasteful number, since it uses less digits than its factorization.

1461703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31752 (or 31731 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1461703680 is about 38232.2335209441. The cubic root of 1461703680 is about 1134.8882862096. Note that the first 3 decimals are identical.

The spelling of 1461703680 in words is "one billion, four hundred sixty-one million, seven hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 31721 46080 63442 95163 126884 158605 190326 253768 285489 317210 380652 475815 507536 570978 634420 761304 951630 1015072 1141956 1268840 1427445 1522608 1903260 2030144 2283912 2537680 2854890 3045216 3806520 4060288 4567824 5075360 5709780 6090432 7613040 8120576 9135648 10150720 11419560 12180864 15226080 16241152 18271296 20301440 22839120 24361728 30452160 32482304 36542592 40602880 45678240 48723456 60904320 73085184 81205760 91356480 97446912 121808640 146170368 162411520 182712960 243617280 292340736 365425920 487234560 730851840 1461703680