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29978280 = 2332583273
BaseRepresentation
bin111001001011…
…0111010101000
32002102001110200
41302112322220
530133301110
62550312200
7512545143
oct162267250
962361420
1029978280
1115a16142
12a058660
136298137
143da505a
1529726c0
hex1c96ea8

29978280 has 48 divisors (see below), whose sum is σ = 97430580. Its totient is φ = 7994112.

The previous prime is 29978261. The next prime is 29978281. The reversal of 29978280 is 8287992.

It can be written as a sum of positive squares in 2 ways, for example, as 29877156 + 101124 = 5466^2 + 318^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29978281) 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, 41277 + ... + 41996.

Almost surely, 229978280 is an apocalyptic number.

29978280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29978280 is an abundant number, since it is smaller than the sum of its proper divisors (67452300).

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

29978280 is a wasteful number, since it uses less digits than its factorization.

29978280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83290 (or 83283 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 29978280 is about 5475.2424603847. The cubic root of 29978280 is about 310.6482446132.

The spelling of 29978280 in words is "twenty-nine million, nine hundred seventy-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 83273 166546 249819 333092 416365 499638 666184 749457 832730 999276 1249095 1498914 1665460 1998552 2498190 2997828 3330920 3747285 4996380 5995656 7494570 9992760 14989140 29978280