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145581320 = 2355961687
BaseRepresentation
bin10001010110101…
…10010100001000
3101010221022000202
420223112110020
5244232100240
622240151332
73415264223
oct1053262410
9333838022
10145581320
11751a4445
1240908548
13242128c1
14154985ba
15cbaa315
hex8ad6508

145581320 has 32 divisors (see below), whose sum is σ = 333115200. Its totient is φ = 57244608.

The previous prime is 145581307. The next prime is 145581343. The reversal of 145581320 is 23185541.

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, 28484 + ... + 33203.

It is an arithmetic number, because the mean of its divisors is an integer number (10409850).

Almost surely, 2145581320 is an apocalyptic number.

145581320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145581320 is an abundant number, since it is smaller than the sum of its proper divisors (187533880).

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

145581320 is a wasteful number, since it uses less digits than its factorization.

145581320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61757 (or 61753 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 145581320 is about 12065.7084334075. The cubic root of 145581320 is about 526.0599236814.

The spelling of 145581320 in words is "one hundred forty-five million, five hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 61687 123374 246748 308435 493496 616870 1233740 2467480 3639533 7279066 14558132 18197665 29116264 36395330 72790660 145581320