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145692 = 22331971
BaseRepresentation
bin100011100100011100
321101212000
4203210130
514130232
63042300
71144521
oct434434
9241760
10145692
119a508
1270390
1351411
143b148
152d27c
hex2391c

145692 has 48 divisors (see below), whose sum is σ = 403200. Its totient is φ = 45360.

The previous prime is 145687. The next prime is 145703. The reversal of 145692 is 296541.

145692 is nontrivially palindromic in base 8.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145692.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2017 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2145692 is an apocalyptic number.

145692 is a gapful number since it is divisible by the number (12) 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 145692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

145692 is an abundant number, since it is smaller than the sum of its proper divisors (257508).

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

145692 is a wasteful number, since it uses less digits than its factorization.

145692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

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

The square root of 145692 is about 381.6962142857. The cubic root of 145692 is about 52.6193204433.

The spelling of 145692 in words is "one hundred forty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 71 76 108 114 142 171 213 228 284 342 426 513 639 684 852 1026 1278 1349 1917 2052 2556 2698 3834 4047 5396 7668 8094 12141 16188 24282 36423 48564 72846 145692