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11972040 = 233599767
BaseRepresentation
bin101101101010…
…110111001000
3211112020112220
4231222313020
511031101130
61104334040
7203521623
oct55526710
924466486
1011972040
116837853
124014320
132632362
141838dba
1510b7410
hexb6adc8

11972040 has 32 divisors (see below), whose sum is σ = 35916480. Its totient is φ = 3192512.

The previous prime is 11972021. The next prime is 11972083. The reversal of 11972040 is 4027911.

11972040 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11972040.

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 7 ways as a sum of consecutive naturals, for example, 49764 + ... + 50003.

It is an arithmetic number, because the mean of its divisors is an integer number (1122390).

Almost surely, 211972040 is an apocalyptic number.

11972040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11972040 is an abundant number, since it is smaller than the sum of its proper divisors (23944440).

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

11972040 is a wasteful number, since it uses less digits than its factorization.

11972040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99781 (or 99777 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11972040 is about 3460.0635832308. The cubic root of 11972040 is about 228.7648979517.

Adding to 11972040 its reverse (4027911), we get a palindrome (15999951).

The spelling of 11972040 in words is "eleven million, nine hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 99767 199534 299301 399068 498835 598602 798136 997670 1197204 1496505 1995340 2394408 2993010 3990680 5986020 11972040