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161329480 = 235135572
BaseRepresentation
bin10011001110110…
…11000101001000
3102020120101102221
421213123011020
5312300020410
624001503424
73666164224
oct1147330510
9366511387
10161329480
1183080254
1246041b74
1327567940
14175d7784
15e26b4da
hex99db148

161329480 has 48 divisors (see below), whose sum is σ = 391616820. Its totient is φ = 59460864.

The previous prime is 161329477. The next prime is 161329481. The reversal of 161329480 is 84923161.

161329480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 191844 + 161137636 = 438^2 + 12694^2 .

It is a super-2 number, since 2×1613294802 = 52054402234140800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161329481) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 289362 + ... + 289918.

Almost surely, 2161329480 is an apocalyptic number.

161329480 is a gapful number since it is divisible by the number (10) 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 161329480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195808410).

161329480 is an abundant number, since it is smaller than the sum of its proper divisors (230287340).

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

161329480 is an equidigital number, since it uses as much as digits as its factorization.

161329480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 161329480 is about 12701.5542356044. The cubic root of 161329480 is about 544.3830293382.

The spelling of 161329480 in words is "one hundred sixty-one million, three hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 557 1114 2228 2785 4456 5570 7241 11140 14482 22280 28964 36205 57928 72410 144820 289640 310249 620498 1240996 1551245 2481992 3102490 4033237 6204980 8066474 12409960 16132948 20166185 32265896 40332370 80664740 161329480