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164391480 = 233251141513
BaseRepresentation
bin10011100110001…
…10101000111000
3102110022221201100
421303012220320
5314041011410
624151251400
74034206311
oct1163065070
9373287640
10164391480
1184881830
1247079b60
132809a586
1417b93608
15e6738c0
hex9cc6a38

164391480 has 96 divisors (see below), whose sum is σ = 582856560. Its totient is φ = 39851520.

The previous prime is 164391473. The next prime is 164391499. The reversal of 164391480 is 84193461.

164391480 is a `hidden beast` number, since 1 + 643 + 9 + 1 + 4 + 8 + 0 = 666.

164391480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 16797 + ... + 24716.

Almost surely, 2164391480 is an apocalyptic number.

164391480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164391480 is an abundant number, since it is smaller than the sum of its proper divisors (418465080).

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

164391480 is a wasteful number, since it uses less digits than its factorization.

164391480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41541 (or 41534 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 164391480 is about 12821.5240903724. The cubic root of 164391480 is about 547.8055590915.

The spelling of 164391480 in words is "one hundred sixty-four million, three hundred ninety-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 41513 83026 124539 166052 207565 249078 332104 373617 415130 456643 498156 622695 747234 830260 913286 996312 1245390 1369929 1494468 1660520 1826572 1868085 2283215 2490780 2739858 2988936 3653144 3736170 4109787 4566430 4981560 5479716 6849645 7472340 8219574 9132860 10959432 13699290 14944680 16439148 18265720 20548935 27398580 32878296 41097870 54797160 82195740 164391480