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16011972 = 2233374007
BaseRepresentation
bin111101000101…
…001011000100
31010010111022000
4331011023010
513044340342
61331105300
7253046064
oct75051304
933114260
1016011972
119047039
125442230
133418152
1421ab3a4
15161444c
hexf452c4

16011972 has 48 divisors (see below), whose sum is σ = 42645120. Its totient is φ = 5191776.

The previous prime is 16011971. The next prime is 16011997. The reversal of 16011972 is 27911061.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16011971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993 + ... + 5999.

It is an arithmetic number, because the mean of its divisors is an integer number (888440).

Almost surely, 216011972 is an apocalyptic number.

16011972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16011972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21322560).

16011972 is an abundant number, since it is smaller than the sum of its proper divisors (26633148).

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

16011972 is a wasteful number, since it uses less digits than its factorization.

16011972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 16011972 is about 4001.4962201657. The cubic root of 16011972 is about 252.0470433716.

The spelling of 16011972 in words is "sixteen million, eleven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 4007 8014 12021 16028 24042 36063 48084 72126 108189 144252 148259 216378 296518 432756 444777 593036 889554 1334331 1779108 2668662 4002993 5337324 8005986 16011972