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10131642 = 2366949
BaseRepresentation
bin100110101001…
…100010111010
3201001202000000
4212221202322
510043203032
61001053430
7152055213
oct46514272
921052000
1010131642
1157a0064
123487276
132139771
1414ba40a
15d51e7c
hex9a98ba

10131642 has 28 divisors (see below), whose sum is σ = 22789050. Its totient is φ = 3376728.

The previous prime is 10131623. The next prime is 10131689. The reversal of 10131642 is 24613101.

It is a happy number.

10131642 is a `hidden beast` number, since 10 + 13 + 1 + 642 = 666.

10131642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6859161 + 3272481 = 2619^2 + 1809^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2017 + ... + 4932.

Almost surely, 210131642 is an apocalyptic number.

10131642 is an abundant number, since it is smaller than the sum of its proper divisors (12657408).

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

10131642 is an frugal number, since it uses more digits than its factorization.

10131642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10131642 is about 3183.0240338395. The cubic root of 10131642 is about 216.3847309916.

Adding to 10131642 its reverse (24613101), we get a palindrome (34744743).

The spelling of 10131642 in words is "ten million, one hundred thirty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 6949 13898 20847 41694 62541 125082 187623 375246 562869 1125738 1688607 3377214 5065821 10131642