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145964 = 22713401
BaseRepresentation
bin100011101000101100
321102020002
4203220230
514132324
63043432
71145360
oct435054
9242202
10145964
119a735
1270578
1351590
143b2a0
152d3ae
hex23a2c

145964 has 24 divisors (see below), whose sum is σ = 315168. Its totient is φ = 57600.

The previous prime is 145963. The next prime is 145967. The reversal of 145964 is 469541.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164 + ... + 564.

It is an arithmetic number, because the mean of its divisors is an integer number (13132).

2145964 is an apocalyptic number.

145964 is a gapful number since it is divisible by the number (14) 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 145964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157584).

145964 is an abundant number, since it is smaller than the sum of its proper divisors (169204).

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

145964 is a wasteful number, since it uses less digits than its factorization.

145964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 145964 is about 382.0523524335. The cubic root of 145964 is about 52.6520460048.

The spelling of 145964 in words is "one hundred forty-five thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 401 802 1604 2807 5213 5614 10426 11228 20852 36491 72982 145964