Search a number
-
+
145451340 = 223251137151
BaseRepresentation
bin10001010101101…
…10100101001100
3101010200200201200
420222312211030
5244213420330
622233305500
73414213246
oct1052664514
9333620650
10145451340
1175115821
1240865290
13241986a8
1415463096
15cb81a60
hex8ab694c

145451340 has 72 divisors (see below), whose sum is σ = 445169088. Its totient is φ = 38438400.

The previous prime is 145451321. The next prime is 145451351. The reversal of 145451340 is 43154541.

It is a happy number.

145451340 is a `hidden beast` number, since 145 + 4 + 513 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16765 + ... + 23915.

It is an arithmetic number, because the mean of its divisors is an integer number (6182904).

Almost surely, 2145451340 is an apocalyptic number.

145451340 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 145451340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222584544).

145451340 is an abundant number, since it is smaller than the sum of its proper divisors (299717748).

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

145451340 is a wasteful number, since it uses less digits than its factorization.

145451340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 145451340 is about 12060.3208912533. The cubic root of 145451340 is about 525.9033156110.

The spelling of 145451340 in words is "one hundred forty-five million, four hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 7151 10170 14302 20340 21453 28604 35755 42906 64359 71510 85812 107265 128718 143020 214530 257436 321795 429060 643590 808063 1287180 1616126 2424189 3232252 4040315 4848378 7272567 8080630 9696756 12120945 14545134 16161260 24241890 29090268 36362835 48483780 72725670 145451340