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11952972 = 22321719531
BaseRepresentation
bin101101100110…
…001101001100
3211111021101200
4231212031030
511024443342
61104105500
7203412213
oct55461514
924437350
1011952972
116824499
124005290
132626785
14183207a
1510b194c
hexb6634c

11952972 has 36 divisors (see below), whose sum is σ = 31993416. Its totient is φ = 3749760.

The previous prime is 11952943. The next prime is 11952973. The reversal of 11952972 is 27925911.

11952972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11952973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9154 + ... + 10377.

It is an arithmetic number, because the mean of its divisors is an integer number (888706).

Almost surely, 211952972 is an apocalyptic number.

11952972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11952972 is an abundant number, since it is smaller than the sum of its proper divisors (20040444).

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

11952972 is a wasteful number, since it uses less digits than its factorization.

11952972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19558 (or 19553 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 11952972 is about 3457.3070445073. The cubic root of 11952972 is about 228.6433812909.

The spelling of 11952972 in words is "eleven million, nine hundred fifty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 19531 39062 58593 78124 117186 175779 234372 332027 351558 664054 703116 996081 1328108 1992162 2988243 3984324 5976486 11952972