Search a number
-
+
1490533840 = 24553419839
BaseRepresentation
bin101100011010111…
…1011110111010000
310211212200222001001
41120311323313100
511023034040330
6403523151344
751636220465
oct13065736720
93755628031
101490533840
116a5405154
12357215554
131a9a596b3
14101d5b66c
158acc99ca
hex58d7bdd0

1490533840 has 80 divisors (see below), whose sum is σ = 3543523200. Its totient is φ = 582872576.

The previous prime is 1490533829. The next prime is 1490533873. The reversal of 1490533840 is 483350941.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14905338402 = 4443382256370291200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1490533840.

It is a congruent number.

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, 1776141 + ... + 1776979.

It is an arithmetic number, because the mean of its divisors is an integer number (44294040).

Almost surely, 21490533840 is an apocalyptic number.

1490533840 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 1490533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771761600).

1490533840 is an abundant number, since it is smaller than the sum of its proper divisors (2052989360).

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

1490533840 is a wasteful number, since it uses less digits than its factorization.

1490533840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 1490533840 is about 38607.4324450617. The cubic root of 1490533840 is about 1142.3011485435.

The spelling of 1490533840 in words is "one billion, four hundred ninety million, five hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 419 424 530 838 839 848 1060 1676 1678 2095 2120 3352 3356 4190 4195 4240 6704 6712 8380 8390 13424 16760 16780 22207 33520 33560 44414 44467 67120 88828 88934 111035 177656 177868 222070 222335 351541 355312 355736 444140 444670 703082 711472 888280 889340 1406164 1757705 1776560 1778680 2812328 3515410 3557360 5624656 7030820 14061640 18631673 28123280 37263346 74526692 93158365 149053384 186316730 298106768 372633460 745266920 1490533840