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1040545152 = 2732903251
BaseRepresentation
bin111110000001010…
…111010110000000
32200111222011121100
4332001113112000
54112334421102
6251130254400
734533326223
oct7601272600
92614864540
101040545152
114943a6a79
12250587400
13137764bba
149c2a35ba
156153ea1c
hex3e057580

1040545152 has 48 divisors (see below), whose sum is σ = 2994280380. Its totient is φ = 346848000.

The previous prime is 1040545123. The next prime is 1040545153. The reversal of 1040545152 is 2515450401.

1040545152 is a `hidden beast` number, since 104 + 0 + 545 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040545153) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 450474 + ... + 452777.

Almost surely, 21040545152 is an apocalyptic number.

1040545152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1040545152 is an abundant number, since it is smaller than the sum of its proper divisors (1953735228).

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

1040545152 is an equidigital number, since it uses as much as digits as its factorization.

1040545152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903271 (or 903256 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1040545152 is about 32257.4821088069. The cubic root of 1040545152 is about 1013.3364004216.

Adding to 1040545152 its reverse (2515450401), we get a palindrome (3555995553).

The spelling of 1040545152 in words is "one billion, forty million, five hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 903251 1806502 2709753 3613004 5419506 7226008 8129259 10839012 14452016 16258518 21678024 28904032 32517036 43356048 57808064 65034072 86712096 115616128 130068144 173424192 260136288 346848384 520272576 1040545152