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5385012840 = 233451662041
BaseRepresentation
bin1010000001111100…
…01100011001101000
3111220021211222220000
411000332030121220
542012030402330
62250203303000
7250305565614
oct50076143150
914807758800
105385012840
112313776939
12106351aa60
1367a85363c
14391284344
15217b59560
hex140f8c668

5385012840 has 80 divisors (see below), whose sum is σ = 18099637380. Its totient is φ = 1436002560.

The previous prime is 5385012823. The next prime is 5385012847. The reversal of 5385012840 is 482105835.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5078272644 + 306740196 = 71262^2 + 17514^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5385012795 and 5385012804.

It is not an unprimeable number, because it can be changed into a prime (5385012847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 827781 + ... + 834260.

Almost surely, 25385012840 is an apocalyptic number.

It is an amenable number.

5385012840 is an abundant number, since it is smaller than the sum of its proper divisors (12714624540).

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

5385012840 is a wasteful number, since it uses less digits than its factorization.

5385012840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662064 (or 1662051 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5385012840 is about 73382.6467225052. The cubic root of 5385012840 is about 1752.7860752917.

The spelling of 5385012840 in words is "five billion, three hundred eighty-five million, twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1662041 3324082 4986123 6648164 8310205 9972246 13296328 14958369 16620410 19944492 24930615 29916738 33240820 39888984 44875107 49861230 59833476 66481640 74791845 89750214 99722460 119666952 134625321 149583690 179500428 199444920 224375535 269250642 299167380 359000856 448751070 538501284 598334760 673126605 897502140 1077002568 1346253210 1795004280 2692506420 5385012840