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2074680 = 2333517113
BaseRepresentation
bin111111010100000111000
310220101221000
413322200320
51012342210
6112245000
723430426
oct7724070
93811830
102074680
111197813
12840760
1357842a
143c0116
152aeac0
hex1fa838

2074680 has 128 divisors (see below), whose sum is σ = 7387200. Its totient is φ = 516096.

The previous prime is 2074649. The next prime is 2074687. The reversal of 2074680 is 864702.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074687) 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 31 ways as a sum of consecutive naturals, for example, 18304 + ... + 18416.

22074680 is an apocalyptic number.

2074680 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 2074680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693600).

2074680 is an abundant number, since it is smaller than the sum of its proper divisors (5312520).

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

2074680 is a wasteful number, since it uses less digits than its factorization.

2074680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2074680 is about 1440.3749511846. The cubic root of 2074680 is about 127.5411631797.

The spelling of 2074680 in words is "two million, seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 113 120 135 136 153 170 180 204 216 226 255 270 306 339 340 360 408 452 459 510 540 565 612 678 680 765 904 918 1017 1020 1080 1130 1224 1356 1530 1695 1836 1921 2034 2040 2260 2295 2712 3051 3060 3390 3672 3842 4068 4520 4590 5085 5763 6102 6120 6780 7684 8136 9180 9605 10170 11526 12204 13560 15255 15368 17289 18360 19210 20340 23052 24408 28815 30510 34578 38420 40680 46104 51867 57630 61020 69156 76840 86445 103734 115260 122040 138312 172890 207468 230520 259335 345780 414936 518670 691560 1037340 2074680