Search a number
-
+
16029900 = 2234521979
BaseRepresentation
bin111101001001…
…100011001100
31010011101220000
4331021203030
513100424100
61331324300
7253152255
oct75114314
933141800
1016029900
119059557
125450690
133423363
1421b3b2c
151619900
hexf498cc

16029900 has 90 divisors (see below), whose sum is σ = 51988860. Its totient is φ = 4272480.

The previous prime is 16029877. The next prime is 16029907. The reversal of 16029900 is 992061.

It is a happy number.

16029900 is digitally balanced in base 2, because in such base 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 (90).

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 (16029907) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7111 + ... + 9089.

It is an arithmetic number, because the mean of its divisors is an integer number (577654).

Almost surely, 216029900 is an apocalyptic number.

16029900 is a gapful number since it is divisible by the number (10) 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 16029900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994430).

16029900 is an abundant number, since it is smaller than the sum of its proper divisors (35958960).

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

16029900 is a wasteful number, since it uses less digits than its factorization.

16029900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 16029900 is about 4003.7357555163. The cubic root of 16029900 is about 252.1410774683.

The spelling of 16029900 in words is "sixteen million, twenty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 1979 2025 2700 3958 4050 5937 7916 8100 9895 11874 17811 19790 23748 29685 35622 39580 49475 53433 59370 71244 89055 98950 106866 118740 148425 160299 178110 197900 213732 267165 296850 320598 356220 445275 534330 593700 641196 801495 890550 1068660 1335825 1602990 1781100 2671650 3205980 4007475 5343300 8014950 16029900