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147840 = 2735711
BaseRepresentation
bin100100000110000000
321111210120
4210012000
514212330
63100240
71154010
oct440600
9244716
10147840
11a1090
1271680
13523a4
143bc40
152dc10
hex24180

147840 has 128 divisors (see below), whose sum is σ = 587520. Its totient is φ = 30720.

The previous prime is 147827. The next prime is 147853. The reversal of 147840 is 48741.

It is an interprime number because it is at equal distance from previous prime (147827) and next prime (147853).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 147840.

It is a congruent number.

It is an unprimeable number.

147840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13435 + ... + 13445.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

2147840 is an apocalyptic number.

147840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 384×385.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760).

147840 is an abundant number, since it is smaller than the sum of its proper divisors (439680).

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

147840 is a wasteful number, since it uses less digits than its factorization.

147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 147840 is about 384.4996749023. The cubic root of 147840 is about 52.8766563314.

Subtracting from 147840 its reverse (48741), we obtain a palindrome (99099).

The spelling of 147840 in words is "one hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 32 33 35 40 42 44 48 55 56 60 64 66 70 77 80 84 88 96 105 110 112 120 128 132 140 154 160 165 168 176 192 210 220 224 231 240 264 280 308 320 330 336 352 384 385 420 440 448 462 480 528 560 616 640 660 672 704 770 840 880 896 924 960 1056 1120 1155 1232 1320 1344 1408 1540 1680 1760 1848 1920 2112 2240 2310 2464 2640 2688 3080 3360 3520 3696 4224 4480 4620 4928 5280 6160 6720 7040 7392 9240 9856 10560 12320 13440 14784 18480 21120 24640 29568 36960 49280 73920 147840