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2150000520 = 233567267413
BaseRepresentation
bin1000000000100110…
…0110011110001000
312112211121100020220
42000021212132020
513400400004040
6553201550040
7104164463043
oct20011463610
95484540226
102150000520
11a0368a238
12500045320
13283576575
14165783c5a
15c8b422d0
hex80266788

2150000520 has 64 divisors (see below), whose sum is σ = 6546294720. Its totient is φ = 564774144.

The previous prime is 2150000519. The next prime is 2150000527. The reversal of 2150000520 is 250000512.

It is a super-3 number, since 3×21500005203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2150000520.

It is not an unprimeable number, because it can be changed into a prime (2150000527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125667 + ... + 141746.

It is an arithmetic number, because the mean of its divisors is an integer number (102285855).

Almost surely, 22150000520 is an apocalyptic number.

2150000520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2150000520 is an abundant number, since it is smaller than the sum of its proper divisors (4396294200).

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

2150000520 is a wasteful number, since it uses less digits than its factorization.

2150000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267494 (or 267490 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2150000520 is about 46368.0980847824. The cubic root of 2150000520 is about 1290.6629847275.

The spelling of 2150000520 in words is "two billion, one hundred fifty million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 267413 534826 802239 1069652 1337065 1604478 2139304 2674130 3208956 4011195 5348260 6417912 8022390 10696520 16044780 17916671 32089560 35833342 53750013 71666684 89583355 107500026 143333368 179166710 215000052 268750065 358333420 430000104 537500130 716666840 1075000260 2150000520