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161311280 = 245131091423
BaseRepresentation
bin10011001110101…
…10101000110000
3102020112110110212
421213112220300
5312243430110
624001243252
73666060164
oct1147265060
9366473425
10161311280
1183068609
1246033528
132755c580
14175d0ca4
15e265e05
hex99d6a30

161311280 has 80 divisors (see below), whose sum is σ = 407890560. Its totient is φ = 58973184.

The previous prime is 161311279. The next prime is 161311301. The reversal of 161311280 is 82113161.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 112649 + ... + 114071.

It is an arithmetic number, because the mean of its divisors is an integer number (5098632).

Almost surely, 2161311280 is an apocalyptic number.

161311280 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 161311280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203945280).

161311280 is an abundant number, since it is smaller than the sum of its proper divisors (246579280).

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

161311280 is a wasteful number, since it uses less digits than its factorization.

161311280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 161311280 is about 12700.8377676435. The cubic root of 161311280 is about 544.3625574779.

The spelling of 161311280 in words is "one hundred sixty-one million, three hundred eleven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 208 218 260 436 520 545 872 1040 1090 1417 1423 1744 2180 2834 2846 4360 5668 5692 7085 7115 8720 11336 11384 14170 14230 18499 22672 22768 28340 28460 36998 56680 56920 73996 92495 113360 113840 147992 155107 184990 295984 310214 369980 620428 739960 775535 1240856 1479920 1551070 2016391 2481712 3102140 4032782 6204280 8065564 10081955 12408560 16131128 20163910 32262256 40327820 80655640 161311280