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1540041030 = 2325112296793
BaseRepresentation
bin101101111001011…
…0010100101000110
310222022212012010200
41123302302211012
511123222303110
6412452231330
753110063353
oct13362624506
93868765120
101540041030
11720349690
1236b90b546
131b70a16a8
1410876762a
15903086c0
hex5bcb2946

1540041030 has 96 divisors (see below), whose sum is σ = 4387836960. Its totient is φ = 371658240.

The previous prime is 1540041023. The next prime is 1540041037. The reversal of 1540041030 is 301400451.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1540041023) and next prime (1540041037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1540040994 and 1540041012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540041037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223314 + ... + 230106.

It is an arithmetic number, because the mean of its divisors is an integer number (45706635).

Almost surely, 21540041030 is an apocalyptic number.

1540041030 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 1540041030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193918480).

1540041030 is an abundant number, since it is smaller than the sum of its proper divisors (2847795930).

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

1540041030 is a wasteful number, since it uses less digits than its factorization.

1540041030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7046 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1540041030 is about 39243.3565078218. The cubic root of 1540041030 is about 1154.8106059274.

Adding to 1540041030 its reverse (301400451), we get a palindrome (1841441481).

The spelling of 1540041030 in words is "one billion, five hundred forty million, forty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 229 330 458 495 687 990 1145 1374 2061 2290 2519 3435 4122 5038 6793 6870 7557 10305 12595 13586 15114 20379 20610 22671 25190 33965 37785 40758 45342 61137 67930 74723 75570 101895 113355 122274 149446 203790 224169 226710 305685 373615 448338 611370 672507 747230 1120845 1345014 1555597 2241690 3111194 3362535 4666791 6725070 7777985 9333582 14000373 15555970 17111567 23333955 28000746 34223134 46667910 51334701 70001865 85557835 102669402 140003730 154004103 171115670 256673505 308008206 513347010 770020515 1540041030