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4275840 = 273517131
BaseRepresentation
bin10000010011111010000000
322001020100110
4100103322000
52043311330
6231351320
751226002
oct20237200
98036313
104275840
112460558
121522540
13b692aa
147d4372
15596db0
hex413e80

4275840 has 128 divisors (see below), whose sum is σ = 14541120. Its totient is φ = 1064960.

The previous prime is 4275811. The next prime is 4275841. The reversal of 4275840 is 485724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4275798 and 4275807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4275841) 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, 32575 + ... + 32705.

Almost surely, 24275840 is an apocalyptic number.

4275840 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 4275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270560).

4275840 is an abundant number, since it is smaller than the sum of its proper divisors (10265280).

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

4275840 is a wasteful number, since it uses less digits than its factorization.

4275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4275840 is about 2067.8104361861. The cubic root of 4275840 is about 162.3082076491.

It can be divided in two parts, 4275 and 840, that added together give a palindrome (5115).

The spelling of 4275840 in words is "four million, two hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 131 136 160 170 192 204 240 255 262 272 320 340 384 393 408 480 510 524 544 640 655 680 786 816 960 1020 1048 1088 1310 1360 1572 1632 1920 1965 2040 2096 2176 2227 2620 2720 3144 3264 3930 4080 4192 4454 5240 5440 6288 6528 6681 7860 8160 8384 8908 10480 10880 11135 12576 13362 15720 16320 16768 17816 20960 22270 25152 26724 31440 32640 33405 35632 41920 44540 50304 53448 62880 66810 71264 83840 89080 106896 125760 133620 142528 178160 213792 251520 267240 285056 356320 427584 534480 712640 855168 1068960 1425280 2137920 4275840