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145962 = 2341753
BaseRepresentation
bin100011101000101010
321102020000
4203220222
514132322
63043430
71145355
oct435052
9242200
10145962
119a733
1270576
135158b
143b29c
152d3ac
hex23a2a

145962 has 40 divisors (see below), whose sum is σ = 352836. Its totient is φ = 44928.

The previous prime is 145949. The next prime is 145963. The reversal of 145962 is 269541.

It can be written as a sum of positive squares in 2 ways, for example, as 136161 + 9801 = 369^2 + 99^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145962.

It is not an unprimeable number, because it can be changed into a prime (145963) by changing a digit.

145962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2728 + ... + 2780.

2145962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176418).

145962 is an abundant number, since it is smaller than the sum of its proper divisors (206874).

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

145962 is a wasteful number, since it uses less digits than its factorization.

145962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 145962 is about 382.0497349822. The cubic root of 145962 is about 52.6518055241.

It can be divided in two parts, 14596 and 2, that multiplied together give a palindrome (29192).

The spelling of 145962 in words is "one hundred forty-five thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 102 106 153 159 162 306 318 459 477 901 918 954 1377 1431 1802 2703 2754 2862 4293 5406 8109 8586 16218 24327 48654 72981 145962