[go: up one dir, main page]

Search a number
-
+
2692950 = 2352131381
BaseRepresentation
bin1010010001011101010110
312001211000220
422101131112
51142133300
6133415210
731614111
oct12213526
95054026
102692950
11157a287
12a9a506
13733980
14501578
15382da0
hex291756

2692950 has 48 divisors (see below), whose sum is σ = 7197456. Its totient is φ = 662400.

The previous prime is 2692933. The next prime is 2692951. The reversal of 2692950 is 592962.

2692950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2692951) 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 23 ways as a sum of consecutive naturals, for example, 1260 + ... + 2640.

It is an arithmetic number, because the mean of its divisors is an integer number (149947).

22692950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2692950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598728).

2692950 is an abundant number, since it is smaller than the sum of its proper divisors (4504506).

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

2692950 is a wasteful number, since it uses less digits than its factorization.

2692950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2692950 is about 1641.0210236313. The cubic root of 2692950 is about 139.1263623270.

The spelling of 2692950 in words is "two million, six hundred ninety-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1381 1950 2762 4143 6905 8286 13810 17953 20715 34525 35906 41430 53859 69050 89765 103575 107718 179530 207150 269295 448825 538590 897650 1346475 2692950