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74999106 = 232721331211
BaseRepresentation
bin1000111100001…
…10010101000010
312020010100102200
410132012111002
5123144432411
611235254030
71600324200
oct436062502
9166110380
1074999106
1139375a36
122114a316
13126cc090
149d64070
1568b6e56
hex4786542

74999106 has 144 divisors (see below), whose sum is σ = 211131648. Its totient is φ = 19051200.

The previous prime is 74999059. The next prime is 74999123. The reversal of 74999106 is 60199947.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 355341 + ... + 355551.

It is an arithmetic number, because the mean of its divisors is an integer number (1466192).

Almost surely, 274999106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74999106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105565824).

74999106 is an abundant number, since it is smaller than the sum of its proper divisors (136132542).

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

74999106 is a wasteful number, since it uses less digits than its factorization.

74999106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 74999106 is about 8660.2024225765. The cubic root of 74999106 is about 421.7146570247.

The spelling of 74999106 in words is "seventy-four million, nine hundred ninety-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 62 63 78 91 93 98 117 126 147 182 186 211 217 234 273 279 294 403 422 434 441 546 558 633 637 651 806 819 882 1209 1266 1274 1302 1477 1519 1638 1899 1911 1953 2418 2743 2821 2954 3038 3627 3798 3822 3906 4431 4557 5486 5642 5733 6541 7254 8229 8463 8862 9114 10339 11466 13082 13293 13671 16458 16926 19201 19623 19747 20678 24687 25389 26586 27342 31017 38402 39246 39494 45787 49374 50778 57603 58869 59241 62034 85033 91574 93051 115206 117738 118482 134407 137361 170066 172809 177723 186102 255099 268814 274722 320509 345618 355446 403221 412083 510198 595231 641018 765297 806442 824166 961527 1190462 1209663 1530594 1785693 1923054 2419326 2884581 3571386 4166617 5357079 5769162 8333234 10714158 12499851 24999702 37499553 74999106