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4012027080 = 2335192376507
BaseRepresentation
bin1110111100100010…
…1010110011001000
3101100121100002111120
43233020222303020
531204034331310
61502035355240
7201264444645
oct35710526310
911317302446
104012027080
111779759366
1293b752b20
134bc272b29
142a0ba4dcc
1518734db70
hexef22acc8

4012027080 has 128 divisors (see below), whose sum is σ = 13220582400. Its totient is φ = 969484032.

The previous prime is 4012027073. The next prime is 4012027093. The reversal of 4012027080 is 807202104.

4012027080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40120270802 = 32192722581306652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4012027080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14187 + ... + 90693.

It is an arithmetic number, because the mean of its divisors is an integer number (103285800).

Almost surely, 24012027080 is an apocalyptic number.

4012027080 is a gapful number since it is divisible by the number (40) 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 4012027080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610291200).

4012027080 is an abundant number, since it is smaller than the sum of its proper divisors (9208555320).

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

4012027080 is a wasteful number, since it uses less digits than its factorization.

4012027080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76563 (or 76559 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4012027080 is about 63340.5642538808. The cubic root of 4012027080 is about 1588.9904433399.

Adding to 4012027080 its reverse (807202104), we get a palindrome (4819229184).

The spelling of 4012027080 in words is "four billion, twelve million, twenty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10488 13110 17480 26220 52440 76507 153014 229521 306028 382535 459042 612056 765070 918084 1147605 1453633 1530140 1759661 1836168 2295210 2907266 3060280 3519322 4360899 4590420 5278983 5814532 7038644 7268165 8721798 8798305 9180840 10557966 11629064 14077288 14536330 17443596 17596610 21115932 21804495 26394915 29072660 33433559 34887192 35193220 42231864 43608990 52789830 58145320 66867118 70386440 87217980 100300677 105579660 133734236 167167795 174435960 200601354 211159320 267468472 334335590 401202708 501503385 668671180 802405416 1003006770 1337342360 2006013540 4012027080