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10020144 = 2431910987
BaseRepresentation
bin100110001110…
…010100110000
3200212002001110
4212032110300
510031121034
6554433320
7151112151
oct46162460
920762043
1010020144
115724312
123432840
1320caaa4
14148b928
15d2dde9
hex98e530

10020144 has 40 divisors (see below), whose sum is σ = 27250240. Its totient is φ = 3163968.

The previous prime is 10020137. The next prime is 10020151. The reversal of 10020144 is 44102001.

It is an interprime number because it is at equal distance from previous prime (10020137) and next prime (10020151).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4582 + ... + 6405.

It is an arithmetic number, because the mean of its divisors is an integer number (681256).

Almost surely, 210020144 is an apocalyptic number.

It is an amenable number.

10020144 is an abundant number, since it is smaller than the sum of its proper divisors (17230096).

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

10020144 is a wasteful number, since it uses less digits than its factorization.

10020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11017 (or 11011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10020144 is about 3165.4611038520. The cubic root of 10020144 is about 215.5880350833.

Adding to 10020144 its reverse (44102001), we get a palindrome (54122145).

The spelling of 10020144 in words is "ten million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 10987 21974 32961 43948 65922 87896 131844 175792 208753 263688 417506 527376 626259 835012 1252518 1670024 2505036 3340048 5010072 10020144