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145069824 = 283474019
BaseRepresentation
bin10001010010110…
…01011100000000
3101002222022101110
420221121130000
5244114213244
622221203320
73411034044
oct1051313400
9332868343
10145069824
1174985119
1240700540
1324093b43
14153a4024
15cb089b9
hex8a59700

145069824 has 72 divisors (see below), whose sum is σ = 394410240. Its totient is φ = 47315968.

The previous prime is 145069819. The next prime is 145069843. The reversal of 145069824 is 428960541.

145069824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34087 + ... + 38105.

It is an arithmetic number, because the mean of its divisors is an integer number (5477920).

Almost surely, 2145069824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197205120).

145069824 is an abundant number, since it is smaller than the sum of its proper divisors (249340416).

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

145069824 is an equidigital number, since it uses as much as digits as its factorization.

145069824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 145069824 is about 12044.4935136352. The cubic root of 145069824 is about 525.4431016526.

The spelling of 145069824 in words is "one hundred forty-five million, sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4019 4512 6016 8038 9024 12032 12057 16076 18048 24114 32152 36096 48228 64304 96456 128608 188893 192912 257216 377786 385824 514432 566679 755572 771648 1028864 1133358 1511144 1543296 2266716 3022288 3086592 4533432 6044576 9066864 12089152 18133728 24178304 36267456 48356608 72534912 145069824