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145666440 = 233254171139
BaseRepresentation
bin10001010111010…
…11000110001000
3101011002121210100
420223223012020
5244242311230
622242045400
73416100333
oct1053530610
9334077710
10145666440
1175252397
1240949860
132424257a
14154bb61a
15cbc5660
hex8aeb188

145666440 has 192 divisors, whose sum is σ = 495331200. Its totient is φ = 37094400.

The previous prime is 145666397. The next prime is 145666453. The reversal of 145666440 is 44666541.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 145666395 and 145666404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047891 + ... + 1048029.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2145666440 is an apocalyptic number.

145666440 is a gapful number since it is divisible by the number (10) 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 145666440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

145666440 is an abundant number, since it is smaller than the sum of its proper divisors (349664760).

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

145666440 is a wasteful number, since it uses less digits than its factorization.

145666440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 145666440 is about 12069.2352698918. The cubic root of 145666440 is about 526.1624311011.

It can be divided in two parts, 1456 and 66440, that added together give a triangular number (67896 = T368).

The spelling of 145666440 in words is "one hundred forty-five million, six hundred sixty-six thousand, four hundred forty".