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74199132 = 2233732003
BaseRepresentation
bin1000110110000…
…11000001011100
312011121201002000
410123003001130
5122443333012
611210202300
71560453000
oct433030134
9164551060
1074199132
11389799a7
1220a23390
13124abc17
149bd6700
1567a9ddc
hex46c305c

74199132 has 96 divisors (see below), whose sum is σ = 224448000. Its totient is φ = 21189168.

The previous prime is 74199131. The next prime is 74199149. The reversal of 74199132 is 23199147.

It is a super-2 number, since 2×741991322 = 11011022379106848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74199131) 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 31 ways as a sum of consecutive naturals, for example, 36043 + ... + 38045.

It is an arithmetic number, because the mean of its divisors is an integer number (2338000).

Almost surely, 274199132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74199132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112224000).

74199132 is an abundant number, since it is smaller than the sum of its proper divisors (150248868).

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

74199132 is a wasteful number, since it uses less digits than its factorization.

74199132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2015 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 74199132 is about 8613.8918033604. The cubic root of 74199132 is about 420.2098950874.

The spelling of 74199132 in words is "seventy-four million, one hundred ninety-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2003 2058 2646 3087 4006 4116 5292 6009 6174 8012 9261 12018 12348 14021 18027 18522 24036 28042 36054 37044 42063 54081 56084 72108 84126 98147 108162 126189 168252 196294 216324 252378 294441 378567 392588 504756 588882 687029 757134 883323 1177764 1374058 1514268 1766646 2061087 2649969 2748116 3533292 4122174 5299938 6183261 8244348 10599876 12366522 18549783 24733044 37099566 74199132