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169142328 = 233218112979
BaseRepresentation
bin10100001010011…
…10100000111000
3102210021022122200
422011032200320
5321300023303
624441150200
74122454215
oct1205164070
9383238580
10169142328
1187527153
124878b360
1329071b24
141866cb0c
15ecb13a3
hexa14e838

169142328 has 48 divisors (see below), whose sum is σ = 460660200. Its totient is φ = 56064960.

The previous prime is 169142327. The next prime is 169142381. The reversal of 169142328 is 823241961.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 169142292 and 169142301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169142327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6543 + ... + 19521.

Almost surely, 2169142328 is an apocalyptic number.

169142328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169142328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230330100).

169142328 is an abundant number, since it is smaller than the sum of its proper divisors (291517872).

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

169142328 is a wasteful number, since it uses less digits than its factorization.

169142328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13172 (or 13165 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 169142328 is about 13005.4730017789. The cubic root of 169142328 is about 553.0326448121.

The spelling of 169142328 in words is "one hundred sixty-nine million, one hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 12979 13032 25958 38937 51916 77874 103832 116811 155748 233622 311496 467244 934488 2349199 4698398 7047597 9396796 14095194 18793592 21142791 28190388 42285582 56380776 84571164 169142328