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161530880 = 210574507
BaseRepresentation
bin10011010000011…
…00010000000000
3102020221121201012
421220030100000
5312322442010
624010100052
74000663340
oct1150142000
9366847635
10161530880
11831a85a5
124611a628
1327608504
141764ad20
15e2ab005
hex9a0c400

161530880 has 88 divisors (see below), whose sum is σ = 442938048. Its totient is φ = 55369728.

The previous prime is 161530879. The next prime is 161530907. The reversal of 161530880 is 88035161.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33587 + ... + 38093.

Almost surely, 2161530880 is an apocalyptic number.

161530880 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 161530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221469024).

161530880 is an abundant number, since it is smaller than the sum of its proper divisors (281407168).

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

161530880 is an equidigital number, since it uses as much as digits as its factorization.

161530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 161530880 is about 12709.4799264171. The cubic root of 161530880 is about 544.6094668751.

The spelling of 161530880 in words is "one hundred sixty-one million, five hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 4507 5120 7168 8960 9014 17920 18028 22535 31549 35840 36056 45070 63098 72112 90140 126196 144224 157745 180280 252392 288448 315490 360560 504784 576896 630980 721120 1009568 1153792 1261960 1442240 2019136 2307584 2523920 2884480 4038272 4615168 5047840 5768960 8076544 10095680 11537920 16153088 20191360 23075840 32306176 40382720 80765440 161530880