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145841024 = 2771391171
BaseRepresentation
bin10001011000101…
…01101110000000
3101011102111021102
420230111232000
5244313403044
622245513532
73420425330
oct1054255600
9334374242
10145841024
117536157a
1240a128a8
13242a3b84
14155250c0
15cc0c24e
hex8b15b80

145841024 has 64 divisors (see below), whose sum is σ = 334723200. Its totient is φ = 62000640.

The previous prime is 145841009. The next prime is 145841027. The reversal of 145841024 is 420148541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145841027) by changing a digit.

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, 123959 + ... + 125129.

It is an arithmetic number, because the mean of its divisors is an integer number (5230050).

Almost surely, 2145841024 is an apocalyptic number.

145841024 is a gapful number since it is divisible by the number (14) 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 145841024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167361600).

145841024 is an abundant number, since it is smaller than the sum of its proper divisors (188882176).

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

145841024 is a wasteful number, since it uses less digits than its factorization.

145841024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 145841024 is about 12076.4657081449. The cubic root of 145841024 is about 526.3725524070.

Adding to 145841024 its reverse (420148541), we get a palindrome (565989565).

The spelling of 145841024 in words is "one hundred forty-five million, eight hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 278 448 556 896 973 1112 1171 1946 2224 2342 3892 4448 4684 7784 8197 8896 9368 15568 16394 17792 18736 31136 32788 37472 62272 65576 74944 124544 131152 149888 162769 262304 325538 524608 651076 1049216 1139383 1302152 2278766 2604304 4557532 5208608 9115064 10417216 18230128 20834432 36460256 72920512 145841024