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40155020 = 22517891327
BaseRepresentation
bin1001100100101…
…1011110001100
32210120002022222
42121023132030
540234430040
63552354512
7665212013
oct231133614
983502288
1040155020
1120737074
1211545a38
13841c289
145493a7a
1537d2bb5
hex264b78c

40155020 has 48 divisors (see below), whose sum is σ = 90357120. Its totient is φ = 14936064.

The previous prime is 40155007. The next prime is 40155041. The reversal of 40155020 is 2055104.

40155020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401550202 = 3224851262400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 40155020.

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 15 ways as a sum of consecutive naturals, for example, 29597 + ... + 30923.

It is an arithmetic number, because the mean of its divisors is an integer number (1882440).

Almost surely, 240155020 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 40155020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45178560).

40155020 is an abundant number, since it is smaller than the sum of its proper divisors (50202100).

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

40155020 is a wasteful number, since it uses less digits than its factorization.

40155020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 40155020 is about 6336.7988764044. The cubic root of 40155020 is about 342.4364206134.

The spelling of 40155020 in words is "forty million, one hundred fifty-five thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 445 890 1327 1513 1780 2654 3026 5308 6052 6635 7565 13270 15130 22559 26540 30260 45118 90236 112795 118103 225590 236206 451180 472412 590515 1181030 2007751 2362060 4015502 8031004 10038755 20077510 40155020