Search a number
-
+
2097150 = 2352113141
BaseRepresentation
bin111111111111111111110
310221112202020
413333333332
51014102100
6112541010
723553066
oct7777776
93845666
102097150
111202690
12851766
13585723
143c83a6
152b65a0
hex1ffffe

2097150 has 96 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 480000.

The previous prime is 2097143. The next prime is 2097169. The reversal of 2097150 is 517902.

It is a Curzon number.

It is a nialpdrome in base 2 and base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2097150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51130 + ... + 51170.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

22097150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2097150 is an abundant number, since it is smaller than the sum of its proper divisors (3902466).

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

2097150 is a wasteful number, since it uses less digits than its factorization.

2097150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 2097150 is about 1448.1539973359. The cubic root of 2097150 is about 127.9999593099. Note that the first 4 decimals are identical.

The spelling of 2097150 in words is "two million, ninety-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 41 50 55 62 66 75 82 93 110 123 150 155 165 186 205 246 275 310 330 341 410 451 465 550 615 682 775 825 902 930 1023 1025 1230 1271 1353 1550 1650 1705 2046 2050 2255 2325 2542 2706 3075 3410 3813 4510 4650 5115 6150 6355 6765 7626 8525 10230 11275 12710 13530 13981 17050 19065 22550 25575 27962 31775 33825 38130 41943 51150 63550 67650 69905 83886 95325 139810 190650 209715 349525 419430 699050 1048575 2097150