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5145530520 = 23351316719751
BaseRepresentation
bin1001100101011001…
…01001000010011000
3111021121020000220110
410302230221002120
541014223434040
62210330324320
7241340200464
oct46254510230
914247200813
105145530520
112200577269
12bb72896a0
13640054320
1436b5454a4
15201b01980
hex132b29098

5145530520 has 128 divisors (see below), whose sum is σ = 16724413440. Its totient is φ = 1258944000.

The previous prime is 5145530519. The next prime is 5145530557. The reversal of 5145530520 is 250355415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250645 + ... + 270395.

It is an arithmetic number, because the mean of its divisors is an integer number (130659480).

Almost surely, 25145530520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145530520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362206720).

5145530520 is an abundant number, since it is smaller than the sum of its proper divisors (11578882920).

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

5145530520 is a wasteful number, since it uses less digits than its factorization.

5145530520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19945 (or 19941 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 5145530520 is about 71732.3533700101. The cubic root of 5145530520 is about 1726.4077867189.

Adding to 5145530520 its reverse (250355415), we get a palindrome (5395885935).

The spelling of 5145530520 in words is "five billion, one hundred forty-five million, five hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 167 195 260 312 334 390 501 520 668 780 835 1002 1336 1560 1670 2004 2171 2505 3340 4008 4342 5010 6513 6680 8684 10020 10855 13026 17368 19751 20040 21710 26052 32565 39502 43420 52104 59253 65130 79004 86840 98755 118506 130260 158008 197510 237012 256763 260520 296265 395020 474024 513526 592530 770289 790040 1027052 1185060 1283815 1540578 2054104 2370120 2567630 3081156 3298417 3851445 5135260 6162312 6596834 7702890 9895251 10270520 13193668 15405780 16492085 19790502 26387336 30811560 32984170 39581004 42879421 49476255 65968340 79162008 85758842 98952510 128638263 131936680 171517684 197905020 214397105 257276526 343035368 395810040 428794210 514553052 643191315 857588420 1029106104 1286382630 1715176840 2572765260 5145530520