Search a number
-
+
10372246040 = 23513176071933
BaseRepresentation
bin10011010100011101…
…11110101000011000
3222202212012200200202
421222032332220120
5132220243333130
64433121121332
7515014431242
oct115216765030
928685180622
1010372246040
114442953a72
122015789248
13c93b621c0
14705781092
1540a8dd145
hex26a3bea18

10372246040 has 128 divisors (see below), whose sum is σ = 26668776960. Its totient is φ = 3596673024.

The previous prime is 10372246019. The next prime is 10372246067. The reversal of 10372246040 is 4064227301.

10372246040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10372245994 and 10372246012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5364914 + ... + 5366846.

It is an arithmetic number, because the mean of its divisors is an integer number (208349820).

Almost surely, 210372246040 is an apocalyptic number.

10372246040 is a gapful number since it is divisible by the number (10) 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 10372246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334388480).

10372246040 is an abundant number, since it is smaller than the sum of its proper divisors (16296530920).

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

10372246040 is a wasteful number, since it uses less digits than its factorization.

10372246040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 10372246040 in words is "ten billion, three hundred seventy-two million, two hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 607 680 884 1105 1214 1768 1933 2210 2428 3035 3866 4420 4856 6070 7732 7891 8840 9665 10319 12140 15464 15782 19330 20638 24280 25129 31564 32861 38660 39455 41276 50258 51595 63128 65722 77320 78910 82552 100516 103190 125645 131444 134147 157820 164305 201032 206380 251290 262888 268294 315640 328610 412760 427193 502580 536588 657220 670735 854386 1005160 1073176 1173331 1314440 1341470 1708772 2135965 2346662 2682940 3417544 4271930 4693324 5365880 5866655 8543860 9386648 11733310 15253303 17087720 19946627 23466620 30506606 39893254 46933240 61013212 76266515 79786508 99733135 122026424 152533030 159573016 199466270 259306151 305066060 398932540 518612302 610132120 797865080 1037224604 1296530755 2074449208 2593061510 5186123020 10372246040