Search a number
-
+
12949500 = 223538997
BaseRepresentation
bin110001011001…
…011111111100
3220100220101010
4301121133330
511303341000
61141315220
7215032434
oct61313774
926326333
1012949500
117345173
124405b10
1328b5235
141a112c4
15120bd50
hexc597fc

12949500 has 96 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 3379200.

The previous prime is 12949499. The next prime is 12949501. The reversal of 12949500 is 594921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12949499) and next prime (12949501).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12949501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133452 + ... + 133548.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 212949500 is an apocalyptic number.

12949500 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 12949500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

12949500 is an abundant number, since it is smaller than the sum of its proper divisors (25576260).

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

12949500 is a wasteful number, since it uses less digits than its factorization.

12949500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12949500 is about 3598.5413711669. The cubic root of 12949500 is about 234.8286059757.

The spelling of 12949500 in words is "twelve million, nine hundred forty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 97 100 125 150 178 194 250 267 291 300 356 375 388 445 485 500 534 582 750 890 970 1068 1164 1335 1455 1500 1780 1940 2225 2425 2670 2910 4450 4850 5340 5820 6675 7275 8633 8900 9700 11125 12125 13350 14550 17266 22250 24250 25899 26700 29100 33375 34532 36375 43165 44500 48500 51798 66750 72750 86330 103596 129495 133500 145500 172660 215825 258990 431650 517980 647475 863300 1079125 1294950 2158250 2589900 3237375 4316500 6474750 12949500