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40160064 = 263729881
BaseRepresentation
bin1001100100110…
…0101101000000
32210120100020210
42121030231000
540240110224
63552434120
7665232510
oct231145500
983510223
1040160064
112073a93a
1211548940
138421669
145495840
1537d4429
hex264cb40

40160064 has 56 divisors (see below), whose sum is σ = 121440448. Its totient is φ = 11473920.

The previous prime is 40160063. The next prime is 40160077. The reversal of 40160064 is 46006104.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×401600642 = 3225661480968192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40160064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40160063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13597 + ... + 16284.

Almost surely, 240160064 is an apocalyptic number.

It is an amenable number.

40160064 is an abundant number, since it is smaller than the sum of its proper divisors (81280384).

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

40160064 is a wasteful number, since it uses less digits than its factorization.

40160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29903 (or 29893 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40160064 is about 6337.1968566552. The cubic root of 40160064 is about 342.4507581897.

Adding to 40160064 its reverse (46006104), we get a palindrome (86166168).

The spelling of 40160064 in words is "forty million, one hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 29881 59762 89643 119524 179286 209167 239048 358572 418334 478096 627501 717144 836668 956192 1255002 1434288 1673336 1912384 2510004 2868576 3346672 5020008 5737152 6693344 10040016 13386688 20080032 40160064