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75076740 = 22335413391
BaseRepresentation
bin1000111100110…
…01010010000100
312020021021221000
410132121102010
5123204423430
611241053300
71601066424
oct436312204
9166237830
1075076740
11394192a2
1221187230
131272850b
149d84484
1568cee60
hex4799484

75076740 has 96 divisors (see below), whose sum is σ = 239339520. Its totient is φ = 19526400.

The previous prime is 75076721. The next prime is 75076759. The reversal of 75076740 is 4767057.

It is an interprime number because it is at equal distance from previous prime (75076721) and next prime (75076759).

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

It is a junction number, because it is equal to n+sod(n) for n = 75076695 and 75076704.

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 31 ways as a sum of consecutive naturals, for example, 20445 + ... + 23835.

It is an arithmetic number, because the mean of its divisors is an integer number (2493120).

Almost surely, 275076740 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 75076740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119669760).

75076740 is an abundant number, since it is smaller than the sum of its proper divisors (164262780).

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

75076740 is a wasteful number, since it uses less digits than its factorization.

75076740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3442 counting only the distinct ones).

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

The square root of 75076740 is about 8664.6834910457. The cubic root of 75076740 is about 421.8601170058.

The spelling of 75076740 in words is "seventy-five million, seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3391 3690 4428 5535 6782 7380 10173 11070 13564 16955 20346 22140 30519 33910 40692 50865 61038 67820 91557 101730 122076 139031 152595 183114 203460 278062 305190 366228 417093 457785 556124 610380 695155 834186 915570 1251279 1390310 1668372 1831140 2085465 2502558 2780620 3753837 4170930 5005116 6256395 7507674 8341860 12512790 15015348 18769185 25025580 37538370 75076740