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75070674 = 232717101347
BaseRepresentation
bin1000111100101…
…11110011010010
312020020222121100
410132113303102
5123204230144
611241005230
71601042640
oct436276322
9166228540
1075070674
1139414788
1221183816
1312725823
149d82190
1568cd269
hex4797cd2

75070674 has 96 divisors (see below), whose sum is σ = 199345536. Its totient is φ = 19929600.

The previous prime is 75070663. The next prime is 75070679. The reversal of 75070674 is 47607057.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (75070679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216169 + ... + 216515.

It is an arithmetic number, because the mean of its divisors is an integer number (2076516).

Almost surely, 275070674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75070674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99672768).

75070674 is an abundant number, since it is smaller than the sum of its proper divisors (124274862).

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

75070674 is a wasteful number, since it uses less digits than its factorization.

75070674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 75070674 is about 8664.3334423370. Note that the first 3 decimals coincide. The cubic root of 75070674 is about 421.8487549764.

The spelling of 75070674 in words is "seventy-five million, seventy thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 101 102 119 126 153 202 238 303 306 347 357 606 694 707 714 909 1041 1071 1414 1717 1818 2082 2121 2142 2429 3123 3434 4242 4858 5151 5899 6246 6363 7287 10302 11798 12019 12726 14574 15453 17697 21861 24038 30906 35047 35394 36057 41293 43722 53091 70094 72114 82586 105141 106182 108171 123879 210282 216342 245329 247758 315423 371637 490658 595799 630846 735987 743274 1191598 1471974 1787397 2207961 3574794 4170593 4415922 5362191 8341186 10724382 12511779 25023558 37535337 75070674