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2074320 = 243254367
BaseRepresentation
bin111111010011011010000
310220101102200
413322123100
51012334240
6112243200
723426403
oct7723320
93811380
102074320
111197516
12840500
13578211
143bdd3a
152ae930
hex1fa6d0

2074320 has 120 divisors (see below), whose sum is σ = 7234656. Its totient is φ = 532224.

The previous prime is 2074279. The next prime is 2074321. The reversal of 2074320 is 234702.

It is a happy number.

2074320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 2074293 and 2074302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30927 + ... + 30993.

22074320 is an apocalyptic number.

2074320 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 2074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617328).

2074320 is an abundant number, since it is smaller than the sum of its proper divisors (5160336).

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

2074320 is a wasteful number, since it uses less digits than its factorization.

2074320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2074320 is about 1440.2499783024. The cubic root of 2074320 is about 127.5337857408.

The spelling of 2074320 in words is "two million, seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 67 72 80 86 90 120 129 134 144 172 180 201 215 240 258 268 335 344 360 387 402 430 516 536 603 645 670 688 720 774 804 860 1005 1032 1072 1206 1290 1340 1548 1608 1720 1935 2010 2064 2412 2580 2680 2881 3015 3096 3216 3440 3870 4020 4824 5160 5360 5762 6030 6192 7740 8040 8643 9648 10320 11524 12060 14405 15480 16080 17286 23048 24120 25929 28810 30960 34572 43215 46096 48240 51858 57620 69144 86430 103716 115240 129645 138288 172860 207432 230480 259290 345720 414864 518580 691440 1037160 2074320