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163442000 = 2453711151
BaseRepresentation
bin10011011110111…
…10110101010000
3102101112201021102
421233132311100
5313320121000
624115043532
74023143201
oct1157366520
9371481242
10163442000
1184293437
12468a05a8
1327b27357
14179c75a8
15e5373d5
hex9bded50

163442000 has 80 divisors (see below), whose sum is σ = 401117184. Its totient is φ = 64400000.

The previous prime is 163441991. The next prime is 163442033. The reversal of 163442000 is 244361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141425 + ... + 142575.

Almost surely, 2163442000 is an apocalyptic number.

163442000 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 163442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

163442000 is an abundant number, since it is smaller than the sum of its proper divisors (237675184).

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

163442000 is a wasteful number, since it uses less digits than its factorization.

163442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 163442000 is about 12784.4436719006. The cubic root of 163442000 is about 546.7488639703.

Adding to 163442000 its reverse (244361), we get a palindrome (163686361).

It can be divided in two parts, 1634 and 42000, that added together give a palindrome (43634).

The spelling of 163442000 in words is "one hundred sixty-three million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1151 1420 1775 2000 2302 2840 3550 4604 5680 5755 7100 8875 9208 11510 14200 17750 18416 23020 28400 28775 35500 46040 57550 71000 81721 92080 115100 142000 143875 163442 230200 287750 326884 408605 460400 575500 653768 817210 1151000 1307536 1634420 2043025 2302000 3268840 4086050 6537680 8172100 10215125 16344200 20430250 32688400 40860500 81721000 163442000