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2073480 = 233537467
BaseRepresentation
bin111111010001110001000
310220100021120
413322032020
51012322410
6112235240
723424063
oct7721610
93810246
102073480
111196922
1283bb20
13577a16
143bd8da
152ae570
hex1fa388

2073480 has 64 divisors (see below), whose sum is σ = 6402240. Its totient is φ = 536832.

The previous prime is 2073469. The next prime is 2073481. The reversal of 2073480 is 843702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2073480.

It is not an unprimeable number, because it can be changed into a prime (2073481) 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, 4207 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (100035).

22073480 is an apocalyptic number.

2073480 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 2073480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201120).

2073480 is an abundant number, since it is smaller than the sum of its proper divisors (4328760).

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

2073480 is a wasteful number, since it uses less digits than its factorization.

2073480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2073480 is about 1439.9583327305. The cubic root of 2073480 is about 127.5165683967.

The spelling of 2073480 in words is "two million, seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 467 555 740 888 934 1110 1401 1480 1868 2220 2335 2802 3736 4440 4670 5604 7005 9340 11208 14010 17279 18680 28020 34558 51837 56040 69116 86395 103674 138232 172790 207348 259185 345580 414696 518370 691160 1036740 2073480