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36014076 = 22327241593
BaseRepresentation
bin1000100101100…
…0011111111100
32111202201000200
42021120133330
533204422301
63323523500
7615054210
oct211303774
974681020
1036014076
11193689aa
1210089590
1375cc507
144ad6940
153265c86
hex22587fc

36014076 has 72 divisors (see below), whose sum is σ = 104648544. Its totient is φ = 10229760.

The previous prime is 36014071. The next prime is 36014081. The reversal of 36014076 is 67041063.

It is an interprime number because it is at equal distance from previous prime (36014071) and next prime (36014081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36014071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60436 + ... + 61028.

It is an arithmetic number, because the mean of its divisors is an integer number (1453452).

Almost surely, 236014076 is an apocalyptic number.

36014076 is a gapful number since it is divisible by the number (36) 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 36014076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52324272).

36014076 is an abundant number, since it is smaller than the sum of its proper divisors (68634468).

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

36014076 is a wasteful number, since it uses less digits than its factorization.

36014076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36014076 is about 6001.1728853617. The cubic root of 36014076 is about 330.2357544002.

The spelling of 36014076 in words is "thirty-six million, fourteen thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 241 252 482 593 723 964 1186 1446 1687 1779 2169 2372 2892 3374 3558 4151 4338 5061 5337 6748 7116 8302 8676 10122 10674 12453 15183 16604 20244 21348 24906 30366 37359 49812 60732 74718 142913 149436 285826 428739 571652 857478 1000391 1286217 1714956 2000782 2572434 3001173 4001564 5144868 6002346 9003519 12004692 18007038 36014076