Search a number
-
+
1540403550 = 2325272931669
BaseRepresentation
bin101101111010000…
…1011000101011110
310222100112121102100
41123310023011132
511123320403200
6412504105530
753113133310
oct13364130536
93870477370
101540403550
11720576a94
1236ba652a6
131b719a6ba
1410881d7b0
159037ad00
hex5bd0b15e

1540403550 has 144 divisors (see below), whose sum is σ = 4748758560. Its totient is φ = 350680320.

The previous prime is 1540403539. The next prime is 1540403551. The reversal of 1540403550 is 553040451.

1540403550 is a `hidden beast` number, since 1 + 540 + 40 + 35 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540403551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 922116 + ... + 923784.

It is an arithmetic number, because the mean of its divisors is an integer number (32977490).

Almost surely, 21540403550 is an apocalyptic number.

1540403550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540403550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374379280).

1540403550 is an abundant number, since it is smaller than the sum of its proper divisors (3208355010).

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

1540403550 is a wasteful number, since it uses less digits than its factorization.

1540403550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1540403550 is about 39247.9751070039. The cubic root of 1540403550 is about 1154.9012115429.

The spelling of 1540403550 in words is "one billion, five hundred forty million, four hundred three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 293 315 350 450 525 586 630 879 1050 1465 1575 1669 1758 2051 2637 2930 3150 3338 4102 4395 5007 5274 6153 7325 8345 8790 10014 10255 11683 12306 13185 14650 15021 16690 18459 20510 21975 23366 25035 26370 30042 30765 35049 36918 41725 43950 50070 51275 58415 61530 65925 70098 75105 83450 92295 102550 105147 116830 125175 131850 150210 153825 175245 184590 210294 250350 292075 307650 350490 375525 461475 489017 525735 584150 751050 876225 922950 978034 1051470 1467051 1752450 2445085 2628675 2934102 3423119 4401153 4890170 5257350 6846238 7335255 8802306 10269357 12225425 14670510 17115595 20538714 22005765 24450850 30808071 34231190 36676275 44011530 51346785 61616142 73352550 85577975 102693570 110028825 154040355 171155950 220057650 256733925 308080710 513467850 770201775 1540403550