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163031440 = 245111314251
BaseRepresentation
bin10011011011110…
…10100110010000
3102100202212002111
421231322212100
5313214001230
624102155104
74016513215
oct1155724620
9370685074
10163031440
1184032a30
1246722a94
1327a12510
141791bb0c
15e4a592a
hex9b7a990

163031440 has 80 divisors (see below), whose sum is σ = 445346496. Its totient is φ = 54720000.

The previous prime is 163031437. The next prime is 163031443. The reversal of 163031440 is 44130361.

163031440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163031437) and next prime (163031443).

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 (22).

It is not an unprimeable number, because it can be changed into a prime (163031443) 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, 4315 + ... + 18565.

Almost surely, 2163031440 is an apocalyptic number.

163031440 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 163031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222673248).

163031440 is an abundant number, since it is smaller than the sum of its proper divisors (282315056).

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

163031440 is a wasteful number, since it uses less digits than its factorization.

163031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14288 (or 14282 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 163031440 is about 12768.3765608632. The cubic root of 163031440 is about 546.2906760865.

The spelling of 163031440 in words is "one hundred sixty-three million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 14251 28502 57004 71255 114008 142510 156761 185263 228016 285020 313522 370526 570040 627044 741052 783805 926315 1140080 1254088 1482104 1567610 1852630 2037893 2508176 2964208 3135220 3705260 4075786 6270440 7410520 8151572 10189465 12540880 14821040 16303144 20378930 32606288 40757860 81515720 163031440