Search a number
-
+
1661550720 = 27352293779
BaseRepresentation
bin110001100001001…
…0100000010000000
311021210111112002120
41203002110002000
511400324110340
6432512444240
756113643124
oct14302240200
94253445076
101661550720
117829a1715
123a4549680
1320630680b
1411a957584
159ad0b4d0
hex63094080

1661550720 has 128 divisors (see below), whose sum is σ = 5320728000. Its totient is φ = 441028608.

The previous prime is 1661550719. The next prime is 1661550731. The reversal of 1661550720 is 270551661.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437791 + ... + 441569.

Almost surely, 21661550720 is an apocalyptic number.

1661550720 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 1661550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660364000).

1661550720 is an abundant number, since it is smaller than the sum of its proper divisors (3659177280).

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

1661550720 is a wasteful number, since it uses less digits than its factorization.

1661550720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 1661550720 is about 40762.1235953182. The cubic root of 1661550720 is about 1184.4167330226.

The spelling of 1661550720 in words is "one billion, six hundred sixty-one million, five hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 320 384 458 480 640 687 916 960 1145 1374 1832 1920 2290 2748 3435 3664 3779 4580 5496 6870 7328 7558 9160 10992 11337 13740 14656 15116 18320 18895 21984 22674 27480 29312 30232 36640 37790 43968 45348 54960 56685 60464 73280 75580 87936 90696 109920 113370 120928 146560 151160 181392 219840 226740 241856 302320 362784 439680 453480 483712 604640 725568 865391 906960 1209280 1451136 1730782 1813920 2418560 2596173 3461564 3627840 4326955 5192346 6923128 7255680 8653910 10384692 12980865 13846256 17307820 20769384 25961730 27692512 34615640 41538768 51923460 55385024 69231280 83077536 103846920 110770048 138462560 166155072 207693840 276925120 332310144 415387680 553850240 830775360 1661550720