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145771940 = 22517428741
BaseRepresentation
bin10001011000001…
…00110110100100
3101011021222111202
420230010312210
5244304200230
622244222032
73420020036
oct1054046644
9334258452
10145771940
1175314686
124099a918
132427b5b2
1415507c56
15cbe6a45
hex8b04da4

145771940 has 24 divisors (see below), whose sum is σ = 324128952. Its totient is φ = 54878720.

The previous prime is 145771939. The next prime is 145771961. The reversal of 145771940 is 49177541.

It can be written as a sum of positive squares in 4 ways, for example, as 66455104 + 79316836 = 8152^2 + 8906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145771894 and 145771903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214031 + ... + 214710.

It is an arithmetic number, because the mean of its divisors is an integer number (13505373).

Almost surely, 2145771940 is an apocalyptic number.

145771940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145771940 is an abundant number, since it is smaller than the sum of its proper divisors (178357012).

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

145771940 is a wasteful number, since it uses less digits than its factorization.

145771940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428767 (or 428765 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 145771940 is about 12073.6050954137. The cubic root of 145771940 is about 526.2894261286.

The spelling of 145771940 in words is "one hundred forty-five million, seven hundred seventy-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 428741 857482 1714964 2143705 4287410 7288597 8574820 14577194 29154388 36442985 72885970 145771940