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74130140 = 22572671129
BaseRepresentation
bin1000110101100…
…10001011011100
312011111012102202
410122302023130
5122434131030
611204511032
71560044600
oct432621334
9164435382
1074130140
1138932087
12209ab478
13124866b6
149bb9500
156794745
hex46b22dc

74130140 has 72 divisors (see below), whose sum is σ = 183954960. Its totient is φ = 25014528.

The previous prime is 74130109. The next prime is 74130143. The reversal of 74130140 is 4103147.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74130143) 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 23 ways as a sum of consecutive naturals, for example, 65096 + ... + 66224.

It is an arithmetic number, because the mean of its divisors is an integer number (2554930).

Almost surely, 274130140 is an apocalyptic number.

74130140 is a gapful number since it is divisible by the number (70) 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 74130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91977480).

74130140 is an abundant number, since it is smaller than the sum of its proper divisors (109824820).

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

74130140 is a wasteful number, since it uses less digits than its factorization.

74130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 74130140 is about 8609.8861781094. The cubic root of 74130140 is about 420.0796145371.

Adding to 74130140 its reverse (4103147), we get a palindrome (78233287).

The spelling of 74130140 in words is "seventy-four million, one hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 196 245 268 335 469 490 670 938 980 1129 1340 1876 2258 2345 3283 4516 4690 5645 6566 7903 9380 11290 13132 15806 16415 22580 31612 32830 39515 55321 65660 75643 79030 110642 151286 158060 221284 276605 302572 378215 529501 553210 756430 1059002 1106420 1512860 2118004 2647505 3706507 5295010 7413014 10590020 14826028 18532535 37065070 74130140