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145662066 = 232114331699
BaseRepresentation
bin10001010111010…
…10000001110010
3101011002101210100
420223222001302
5244242141231
622242013230
73416051514
oct1053520162
9334071710
10145662066
117524a080
1240947216
1324240594
14154b9bb4
15cbc41e6
hex8aea072

145662066 has 48 divisors (see below), whose sum is σ = 345290400. Its totient is φ = 44012160.

The previous prime is 145662061. The next prime is 145662067. The reversal of 145662066 is 660266541.

It is a happy number.

145662066 is a `hidden beast` number, since 14 + 566 + 20 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145662066.

It is not an unprimeable number, because it can be changed into a prime (145662061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84885 + ... + 86583.

It is an arithmetic number, because the mean of its divisors is an integer number (7193550).

Almost surely, 2145662066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145662066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172645200).

145662066 is an abundant number, since it is smaller than the sum of its proper divisors (199628334).

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

145662066 is a wasteful number, since it uses less digits than its factorization.

145662066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 145662066 is about 12069.0540640102. The cubic root of 145662066 is about 526.1571645997.

The spelling of 145662066 in words is "one hundred forty-five million, six hundred sixty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 433 866 1299 1699 2598 3398 3897 4763 5097 7794 9526 10194 14289 15291 18689 28578 30582 37378 42867 56067 85734 112134 168201 336402 735667 1471334 2207001 4414002 6621003 8092337 13242006 16184674 24277011 48554022 72831033 145662066