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2073280 = 265111931
BaseRepresentation
bin111111010001011000000
310220100000011
413322023000
51012321110
6112234304
723423356
oct7721300
93810004
102073280
111196760
1283b994
135778c1
143bd7d6
152ae48a
hex1fa2c0

2073280 has 112 divisors (see below), whose sum is σ = 5852160. Its totient is φ = 691200.

The previous prime is 2073277. The next prime is 2073283. The reversal of 2073280 is 823702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2073277) and next prime (2073283).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2073283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66865 + ... + 66895.

22073280 is an apocalyptic number.

2073280 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 2073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080).

2073280 is an abundant number, since it is smaller than the sum of its proper divisors (3778880).

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

2073280 is a wasteful number, since it uses less digits than its factorization.

2073280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2073280 is about 1439.8888846019. Note that the first 5 decimals coincide. The cubic root of 2073280 is about 127.5124683437.

Adding to 2073280 its reverse (823702), we get a palindrome (2896982).

The spelling of 2073280 in words is "two million, seventy-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 31 32 38 40 44 55 62 64 76 80 88 95 110 124 152 155 160 176 190 209 220 248 304 310 320 341 352 380 418 440 496 589 608 620 682 704 760 836 880 992 1045 1178 1216 1240 1364 1520 1672 1705 1760 1984 2090 2356 2480 2728 2945 3040 3344 3410 3520 4180 4712 4960 5456 5890 6080 6479 6688 6820 8360 9424 9920 10912 11780 12958 13376 13640 16720 18848 21824 23560 25916 27280 32395 33440 37696 47120 51832 54560 64790 66880 94240 103664 109120 129580 188480 207328 259160 414656 518320 1036640 2073280