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165380096 = 21572103
BaseRepresentation
bin10011101101110…
…00000000000000
3102112012011211202
421312320000000
5314314130341
624224400332
74045464500
oct1166700000
9375164752
10165380096
1185397572
12474760a8
132835555b
1417d6da00
15e7bb79b
hex9db8000

165380096 has 96 divisors (see below), whose sum is σ = 388491480. Its totient is φ = 70189056.

The previous prime is 165380081. The next prime is 165380179. The reversal of 165380096 is 690083561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1605581 + ... + 1605683.

Almost surely, 2165380096 is an apocalyptic number.

165380096 is a gapful number since it is divisible by the number (16) 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 165380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194245740).

165380096 is an abundant number, since it is smaller than the sum of its proper divisors (223111384).

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

165380096 is an frugal number, since it uses more digits than its factorization.

165380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 165380096 is about 12860.0192845890. The cubic root of 165380096 is about 548.9014944869.

The spelling of 165380096 in words is "one hundred sixty-five million, three hundred eighty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 103 112 128 196 206 224 256 392 412 448 512 721 784 824 896 1024 1442 1568 1648 1792 2048 2884 3136 3296 3584 4096 5047 5768 6272 6592 7168 8192 10094 11536 12544 13184 14336 16384 20188 23072 25088 26368 28672 32768 40376 46144 50176 52736 57344 80752 92288 100352 105472 114688 161504 184576 200704 210944 229376 323008 369152 401408 421888 646016 738304 802816 843776 1292032 1476608 1605632 1687552 2584064 2953216 3375104 5168128 5906432 10336256 11812864 20672512 23625728 41345024 82690048 165380096