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146147031 = 3319347821
BaseRepresentation
bin10001011011000…
…00011011010111
3101012000001001000
420231200123113
5244403201111
622300234343
73423141432
oct1055403327
9335001030
10146147031
1175550478
1240b3b9b3
1324380244
14155a4819
15cc6cc56
hex8b606d7

146147031 has 32 divisors (see below), whose sum is σ = 228844800. Its totient is φ = 91925280.

The previous prime is 146147021. The next prime is 146147047. The reversal of 146147031 is 130741641.

It is a happy number.

146147031 is a `hidden beast` number, since 14 + 614 + 7 + 0 + 31 = 666.

146147031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146147031 - 25 = 146146999 is a prime.

It is a super-2 number, since 2×1461470312 = 42717909340229922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 146146986 and 146147004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146147021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177601 + ... + 178421.

It is an arithmetic number, because the mean of its divisors is an integer number (7151400).

Almost surely, 2146147031 is an apocalyptic number.

146147031 is a deficient number, since it is larger than the sum of its proper divisors (82697769).

146147031 is a wasteful number, since it uses less digits than its factorization.

146147031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 146147031 is about 12089.1286286481. The cubic root of 146147031 is about 526.7404442301.

Adding to 146147031 its reverse (130741641), we get a palindrome (276888672).

The spelling of 146147031 in words is "one hundred forty-six million, one hundred forty-seven thousand, thirty-one".

Divisors: 1 3 9 19 27 57 171 347 513 821 1041 2463 3123 6593 7389 9369 15599 19779 22167 46797 59337 140391 178011 284887 421173 854661 2563983 5412853 7691949 16238559 48715677 146147031