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2006970 = 235719503
BaseRepresentation
bin111101001111110111010
310202222001020
413221332322
51003210340
6111003310
723026140
oct7517672
93688036
102006970
111150959
12809536
13553674
143a3590
152999d0
hex1e9fba

2006970 has 64 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 433728.

The previous prime is 2006959. The next prime is 2007001. The reversal of 2006970 is 796002.

2006970 = T50 + T51 + ... + T229.

It is a self number, because there is not a number n which added to its sum of digits gives 2006970.

It is a congruent 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, 3739 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22006970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2006970 is an abundant number, since it is smaller than the sum of its proper divisors (3799110).

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

2006970 is a wasteful number, since it uses less digits than its factorization.

2006970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2006970 is about 1416.6756862458. The cubic root of 2006970 is about 126.1382961240.

The spelling of 2006970 in words is "two million, six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 503 570 665 798 1006 1330 1509 1995 2515 3018 3521 3990 5030 7042 7545 9557 10563 15090 17605 19114 21126 28671 35210 47785 52815 57342 66899 95570 105630 133798 143355 200697 286710 334495 401394 668990 1003485 2006970