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2064150 = 2335211139
BaseRepresentation
bin111110111111100010110
310212212111000
413313330112
51012023100
6112124130
723354634
oct7677426
93785430
102064150
11118a910
12836646
135736ba
143ba354
152ab900
hex1f7f16

2064150 has 96 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 496800.

The previous prime is 2064149. The next prime is 2064151. The reversal of 2064150 is 514602.

It is a happy number.

2064150 is a `hidden beast` number, since 20 + 641 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2064149) and next prime (2064151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14781 + ... + 14919.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

22064150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2064150 is an abundant number, since it is smaller than the sum of its proper divisors (4185450).

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

2064150 is a wasteful number, since it uses less digits than its factorization.

2064150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2064150 is about 1436.7150030538. The cubic root of 2064150 is about 127.3250194828.

Adding to 2064150 its reverse (514602), we get a palindrome (2578752).

It can be divided in two parts, 206 and 4150, that added together give a square (4356 = 662).

The spelling of 2064150 in words is "two million, sixty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 139 150 165 198 225 270 275 278 297 330 417 450 495 550 594 675 695 825 834 990 1251 1350 1390 1485 1529 1650 2085 2475 2502 2970 3058 3475 3753 4170 4587 4950 6255 6950 7425 7506 7645 9174 10425 12510 13761 14850 15290 18765 20850 22935 27522 31275 37530 38225 41283 45870 62550 68805 76450 82566 93825 114675 137610 187650 206415 229350 344025 412830 688050 1032075 2064150