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1531416340 = 2251929138967
BaseRepresentation
bin101101101000111…
…1000111100010100
310221201122000021201
41123101320330110
511114020310330
6411543322244
752643552446
oct13321707424
93851560251
101531416340
11716498843
12368a50384
131b5371b1c
14107560496
158e6a2eca
hex5b478f14

1531416340 has 48 divisors (see below), whose sum is σ = 3501993600. Its totient is φ = 560310912.

The previous prime is 1531416323. The next prime is 1531416349. The reversal of 1531416340 is 436141351.

It is a junction number, because it is equal to n+sod(n) for n = 1531416299 and 1531416308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531416349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58464 + ... + 80503.

It is an arithmetic number, because the mean of its divisors is an integer number (72958200).

Almost surely, 21531416340 is an apocalyptic number.

1531416340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1531416340 is an abundant number, since it is smaller than the sum of its proper divisors (1970577260).

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

1531416340 is a wasteful number, since it uses less digits than its factorization.

1531416340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139024 (or 139022 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1531416340 is about 39133.3149630848. The cubic root of 1531416340 is about 1152.6508075564.

Adding to 1531416340 its reverse (436141351), we get a palindrome (1967557691).

The spelling of 1531416340 in words is "one billion, five hundred thirty-one million, four hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 11020 138967 277934 555868 694835 1389670 2640373 2779340 4030043 5280746 8060086 10561492 13201865 16120172 20150215 26403730 40300430 52807460 76570817 80600860 153141634 306283268 382854085 765708170 1531416340