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4270080 = 21135139
BaseRepresentation
bin10000010010100000000000
322000221110010
4100102200000
52043120310
6231304520
751203133
oct20224000
98027403
104270080
1124571a1
12151b140
13b66799
147d221a
15595320
hex412800

4270080 has 96 divisors (see below), whose sum is σ = 13759200. Its totient is φ = 1130496.

The previous prime is 4270073. The next prime is 4270081. The reversal of 4270080 is 800724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4270081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30651 + ... + 30789.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

Almost surely, 24270080 is an apocalyptic number.

4270080 is a gapful number since it is divisible by the number (40) 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 4270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879600).

4270080 is an abundant number, since it is smaller than the sum of its proper divisors (9489120).

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

4270080 is a wasteful number, since it uses less digits than its factorization.

4270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4270080 is about 2066.4171892433. The cubic root of 4270080 is about 162.2352929009.

The spelling of 4270080 in words is "four million, two hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 256 278 320 384 417 480 512 556 640 695 768 834 960 1024 1112 1280 1390 1536 1668 1920 2048 2085 2224 2560 2780 3072 3336 3840 4170 4448 5120 5560 6144 6672 7680 8340 8896 10240 11120 13344 15360 16680 17792 22240 26688 30720 33360 35584 44480 53376 66720 71168 88960 106752 133440 142336 177920 213504 266880 284672 355840 427008 533760 711680 854016 1067520 1423360 2135040 4270080