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11963040 = 253524923
BaseRepresentation
bin101101101000…
…101010100000
3211111210012120
4231220222200
511030304130
61104224240
7203453445
oct55505240
924453176
1011963040
116831011
12400b080
13262b22b
1418359cc
1510b4910
hexb68aa0

11963040 has 48 divisors (see below), whose sum is σ = 37685088. Its totient is φ = 3190016.

The previous prime is 11963023. The next prime is 11963041. The reversal of 11963040 is 4036911.

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

It is a super-2 number, since 2×119630402 = 286228652083200, which contains 22 as substring.

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 11963040.

It is not an unprimeable number, because it can be changed into a prime (11963041) 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, 11982 + ... + 12941.

It is an arithmetic number, because the mean of its divisors is an integer number (785106).

Almost surely, 211963040 is an apocalyptic number.

11963040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11963040 is an abundant number, since it is smaller than the sum of its proper divisors (25722048).

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

11963040 is a wasteful number, since it uses less digits than its factorization.

11963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24941 (or 24933 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11963040 is about 3458.7627845806. The cubic root of 11963040 is about 228.7075587898.

Adding to 11963040 its reverse (4036911), we get a palindrome (15999951).

The spelling of 11963040 in words is "eleven million, nine hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 24923 49846 74769 99692 124615 149538 199384 249230 299076 373845 398768 498460 598152 747690 797536 996920 1196304 1495380 1993840 2392608 2990760 3987680 5981520 11963040