Search a number
-
+
10021140 = 2232555673
BaseRepresentation
bin100110001110…
…100100010100
3200212010102100
4212032210110
510031134030
6554442100
7151115103
oct46164424
920763370
1010021140
115725038
123433330
1320cb38c
14148c03a
15d2e360
hex98e914

10021140 has 36 divisors (see below), whose sum is σ = 30398004. Its totient is φ = 2672256.

The previous prime is 10021129. The next prime is 10021147. The reversal of 10021140 is 4112001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6380676 + 3640464 = 2526^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021147) 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, 27657 + ... + 28016.

It is an arithmetic number, because the mean of its divisors is an integer number (844389).

Almost surely, 210021140 is an apocalyptic number.

10021140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021140 is an abundant number, since it is smaller than the sum of its proper divisors (20376864).

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

10021140 is a wasteful number, since it uses less digits than its factorization.

10021140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55688 (or 55683 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10021140 is about 3165.6184229942. The cubic root of 10021140 is about 215.5951779803.

Adding to 10021140 its reverse (4112001), we get a palindrome (14133141).

The spelling of 10021140 in words is "ten million, twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 55673 111346 167019 222692 278365 334038 501057 556730 668076 835095 1002114 1113460 1670190 2004228 2505285 3340380 5010570 10021140