Search a number
-
+
36096147240 = 23357128115077
BaseRepresentation
bin100001100111011111…
…110111111100101000
310110011121021021021020
4201213133313330220
51042411103202430
624325441412440
72415332121606
oct414737677450
9113147237236
1036096147240
111434337474a
126bb463a120
133533355b0a
141a65d24876
15e13e04b10
hex8677f7f28

36096147240 has 128 divisors (see below), whose sum is σ = 110211736320. Its totient is φ = 9455667200.

The previous prime is 36096147233. The next prime is 36096147247. The reversal of 36096147240 is 4274169063.

It is an interprime number because it is at equal distance from previous prime (36096147233) and next prime (36096147247).

It is a junction number, because it is equal to n+sod(n) for n = 36096147192 and 36096147201.

It is not an unprimeable number, because it can be changed into a prime (36096147247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2386582 + ... + 2401658.

It is an arithmetic number, because the mean of its divisors is an integer number (861029190).

Almost surely, 236096147240 is an apocalyptic number.

36096147240 is a gapful number since it is divisible by the number (30) 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 36096147240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55105868160).

36096147240 is an abundant number, since it is smaller than the sum of its proper divisors (74115589080).

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

36096147240 is a wasteful number, since it uses less digits than its factorization.

36096147240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15443 (or 15439 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 36096147240 in words is "thirty-six billion, ninety-six million, one hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 281 284 355 426 562 568 710 843 852 1065 1124 1405 1420 1686 1704 2130 2248 2810 2840 3372 4215 4260 5620 6744 8430 8520 11240 15077 16860 19951 30154 33720 39902 45231 59853 60308 75385 79804 90462 99755 119706 120616 150770 159608 180924 199510 226155 239412 299265 301540 361848 399020 452310 478824 598530 603080 798040 904620 1070467 1197060 1809240 2140934 2394120 3211401 4236637 4281868 5352335 6422802 8473274 8563736 10704670 12709911 12845604 16057005 16946548 21183185 21409340 25419822 25691208 32114010 33893096 42366370 42818680 50839644 63549555 64228020 84732740 101679288 127099110 128456040 169465480 254198220 300801227 508396440 601602454 902403681 1203204908 1504006135 1804807362 2406409816 3008012270 3609614724 4512018405 6016024540 7219229448 9024036810 12032049080 18048073620 36096147240