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146540238 = 23132178501
BaseRepresentation
bin10001011110000…
…00011011001110
3101012202000102020
420233000123032
5300003241423
622312511010
73426400005
oct1057003316
9335660366
10146540238
1175799939
12410ab466
132448a200
1415667c3c
15cce94e3
hex8bc06ce

146540238 has 48 divisors (see below), whose sum is σ = 336067056. Its totient is φ = 42432000.

The previous prime is 146540209. The next prime is 146540279. The reversal of 146540238 is 832045641.

It is a super-3 number, since 3×1465402383 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146540199 and 146540208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12988 + ... + 21488.

It is an arithmetic number, because the mean of its divisors is an integer number (7001397).

Almost surely, 2146540238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146540238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168033528).

146540238 is an abundant number, since it is smaller than the sum of its proper divisors (189526818).

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

146540238 is a wasteful number, since it uses less digits than its factorization.

146540238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8549 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 146540238 is about 12105.3805392478. The cubic root of 146540238 is about 527.2124176850.

Adding to 146540238 its reverse (832045641), we get a palindrome (978585879).

The spelling of 146540238 in words is "one hundred forty-six million, five hundred forty thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2873 5746 8501 8619 17002 17238 25503 51006 110513 144517 221026 289034 331539 433551 663078 867102 1436669 1878721 2873338 3757442 4310007 5636163 8620014 11272326 24423373 48846746 73270119 146540238