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161039776 = 2517389761
BaseRepresentation
bin10011001100101…
…00010110100000
3102020000200001011
421212110112200
5312211233101
623551350304
73663546502
oct1146242640
9366020034
10161039776
11829a2627
1245b22394
1327495b11
141755dd72
15e210751
hex99945a0

161039776 has 48 divisors (see below), whose sum is σ = 337002120. Its totient is φ = 75489280.

The previous prime is 161039771. The next prime is 161039783. The reversal of 161039776 is 677930161.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86044176 + 74995600 = 9276^2 + 8660^2 .

It is not an unprimeable number, because it can be changed into a prime (161039771) by changing a digit.

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, 211236 + ... + 211996.

Almost surely, 2161039776 is an apocalyptic number.

161039776 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 161039776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168501060).

161039776 is an abundant number, since it is smaller than the sum of its proper divisors (175962344).

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

161039776 is a wasteful number, since it uses less digits than its factorization.

161039776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 161039776 is about 12690.1448376289. The cubic root of 161039776 is about 544.0569793258.

The spelling of 161039776 in words is "one hundred sixty-one million, thirty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 389 544 761 778 1522 1556 3044 3112 6088 6224 6613 12176 12448 12937 13226 24352 25874 26452 51748 52904 103496 105808 206992 211616 296029 413984 592058 1184116 2368232 4736464 5032493 9472928 10064986 20129972 40259944 80519888 161039776