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163440840 = 233537131281
BaseRepresentation
bin10011011110111…
…10100011001000
3102101112122200110
421233132203020
5313320101330
624115034320
74023136623
oct1157364310
9371478613
10163440840
1184292582
124689b9a0
1327b26974
14179c6dba
15e536db0
hex9bde8c8

163440840 has 128 divisors (see below), whose sum is σ = 509224320. Its totient is φ = 41932800.

The previous prime is 163440821. The next prime is 163440841. The reversal of 163440840 is 48044361.

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 = 163440798 and 163440807.

It is not an unprimeable number, because it can be changed into a prime (163440841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581500 + ... + 581780.

It is an arithmetic number, because the mean of its divisors is an integer number (3978315).

Almost surely, 2163440840 is an apocalyptic number.

163440840 is a gapful number since it is divisible by the number (10) 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 163440840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254612160).

163440840 is an abundant number, since it is smaller than the sum of its proper divisors (345783480).

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

163440840 is a wasteful number, since it uses less digits than its factorization.

163440840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 163440840 is about 12784.3983041831. The cubic root of 163440840 is about 546.7475704836.

The spelling of 163440840 in words is "one hundred sixty-three million, four hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 131 148 185 222 262 281 296 370 393 444 524 555 562 655 740 786 843 888 1048 1110 1124 1310 1405 1480 1572 1686 1965 2220 2248 2620 2810 3144 3372 3930 4215 4440 4847 5240 5620 6744 7860 8430 9694 10397 11240 14541 15720 16860 19388 20794 24235 29082 31191 33720 36811 38776 41588 48470 51985 58164 62382 72705 73622 83176 96940 103970 110433 116328 124764 145410 147244 155955 184055 193880 207940 220866 249528 290820 294488 311910 368110 415880 441732 552165 581640 623820 736220 883464 1104330 1247640 1362007 1472440 2208660 2724014 4086021 4417320 5448028 6810035 8172042 10896056 13620070 16344084 20430105 27240140 32688168 40860210 54480280 81720420 163440840