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2070640 = 2451113181
BaseRepresentation
bin111111001100001110000
310220012101101
413321201300
51012230030
6112214144
723412565
oct7714160
93805341
102070640
111194780
1283a354
13576640
143bc86c
152ad7ca
hex1f9870

2070640 has 80 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 691200.

The previous prime is 2070619. The next prime is 2070641. The reversal of 2070640 is 460702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070641) 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 15 ways as a sum of consecutive naturals, for example, 11350 + ... + 11530.

22070640 is an apocalyptic number.

2070640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568).

2070640 is an abundant number, since it is smaller than the sum of its proper divisors (3616496).

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

2070640 is a wasteful number, since it uses less digits than its factorization.

2070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2070640 is about 1438.9718551799. The cubic root of 2070640 is about 127.4583229153.

The spelling of 2070640 in words is "two million, seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 181 208 220 260 286 362 440 520 572 715 724 880 905 1040 1144 1430 1448 1810 1991 2288 2353 2860 2896 3620 3982 4706 5720 7240 7964 9412 9955 11440 11765 14480 15928 18824 19910 23530 25883 31856 37648 39820 47060 51766 79640 94120 103532 129415 159280 188240 207064 258830 414128 517660 1035320 2070640