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165506740 = 22574725153
BaseRepresentation
bin10011101110101…
…10111010110100
3102112102121120021
421313112322310
5314332203430
624231214524
74046532640
oct1167267264
9375377507
10165506740
1185473733
1247517444
132839b0a9
1417da3c20
15e7e407a
hex9dd6eb4

165506740 has 48 divisors (see below), whose sum is σ = 405683712. Its totient is φ = 55535616.

The previous prime is 165506723. The next prime is 165506743. The reversal of 165506740 is 47605561.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 165506696 and 165506705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165506743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5997 + ... + 19156.

It is an arithmetic number, because the mean of its divisors is an integer number (8451744).

Almost surely, 2165506740 is an apocalyptic number.

165506740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165506740 is an abundant number, since it is smaller than the sum of its proper divisors (240176972).

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

165506740 is a wasteful number, since it uses less digits than its factorization.

165506740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25216 (or 25214 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 165506740 is about 12864.9422851407. The cubic root of 165506740 is about 549.0415704811.

The spelling of 165506740 in words is "one hundred sixty-five million, five hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 25153 50306 100612 125765 176071 251530 352142 503060 704284 880355 1182191 1760710 2364382 3521420 4728764 5910955 8275337 11821910 16550674 23643820 33101348 41376685 82753370 165506740