Search a number
-
+
2081970 = 233511701
BaseRepresentation
bin111111100010010110010
310220202221000
413330102302
51013110340
6112342430
723460612
oct7742262
93822830
102081970
1111a2240
12844a16
1357b847
143c2a42
152b1d30
hex1fc4b2

2081970 has 64 divisors (see below), whose sum is σ = 6065280. Its totient is φ = 504000.

The previous prime is 2081969. The next prime is 2082019. The reversal of 2081970 is 791802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2620 + ... + 3320.

It is an arithmetic number, because the mean of its divisors is an integer number (94770).

22081970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032640).

2081970 is an abundant number, since it is smaller than the sum of its proper divisors (3983310).

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

2081970 is a wasteful number, since it uses less digits than its factorization.

2081970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2081970 is about 1442.9033231648. The cubic root of 2081970 is about 127.6903730478.

The spelling of 2081970 in words is "two million, eighty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 701 990 1402 1485 2103 2970 3505 4206 6309 7010 7711 10515 12618 15422 18927 21030 23133 31545 37854 38555 46266 63090 69399 77110 94635 115665 138798 189270 208197 231330 346995 416394 693990 1040985 2081970