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20070144 = 283231281
BaseRepresentation
bin100110010001…
…1111100000000
31101202200001200
41030203330000
520114221034
61554101200
7332410353
oct114437400
941680050
1020070144
1110368aa6
12687a800
134209333
14294629a
151b66a99
hex1323f00

20070144 has 108 divisors (see below), whose sum is σ = 59946432. Its totient is φ = 6451200.

The previous prime is 20070143. The next prime is 20070161. The reversal of 20070144 is 44107002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20070143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71284 + ... + 71564.

Almost surely, 220070144 is an apocalyptic number.

20070144 is a gapful number since it is divisible by the number (24) 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 20070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29973216).

20070144 is an abundant number, since it is smaller than the sum of its proper divisors (39876288).

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

20070144 is a wasteful number, since it uses less digits than its factorization.

20070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20070144 is about 4479.9714284803. The cubic root of 20070144 is about 271.7587249121.

Adding to 20070144 its reverse (44107002), we get a palindrome (64177146).

The spelling of 20070144 in words is "twenty million, seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 281 288 372 384 496 558 562 576 744 768 843 992 1116 1124 1152 1488 1686 1984 2232 2248 2304 2529 2976 3372 3968 4464 4496 5058 5952 6744 7936 8711 8928 8992 10116 11904 13488 17422 17856 17984 20232 23808 26133 26976 34844 35712 35968 40464 52266 53952 69688 71424 71936 78399 80928 104532 107904 139376 156798 161856 209064 215808 278752 313596 323712 418128 557504 627192 647424 836256 1115008 1254384 1672512 2230016 2508768 3345024 5017536 6690048 10035072 20070144