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11952672 = 253196553
BaseRepresentation
bin101101100110…
…001000100000
3211111020222120
4231212020200
511024441142
61104104240
7203411304
oct55461040
924436876
1011952672
116824246
124005080
1326265b4
141831d04
1510b17ec
hexb66220

11952672 has 48 divisors (see below), whose sum is σ = 33032160. Its totient is φ = 3773952.

The previous prime is 11952671. The next prime is 11952673. The reversal of 11952672 is 27625911.

It is an interprime number because it is at equal distance from previous prime (11952671) and next prime (11952673).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (11952671) 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, 1453 + ... + 5100.

It is an arithmetic number, because the mean of its divisors is an integer number (688170).

Almost surely, 211952672 is an apocalyptic number.

11952672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11952672 is an abundant number, since it is smaller than the sum of its proper divisors (21079488).

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

11952672 is a wasteful number, since it uses less digits than its factorization.

11952672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6577 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 11952672 is about 3457.2636578659. The cubic root of 11952672 is about 228.6414684168.

The spelling of 11952672 in words is "eleven million, nine hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 6553 13106 19659 26212 39318 52424 78636 104848 124507 157272 209696 249014 314544 373521 498028 629088 747042 996056 1494084 1992112 2988168 3984224 5976336 11952672