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36141696 = 2732137229
BaseRepresentation
bin1000100111011…
…1101010000000
32112000012002100
42021313222000
533223013241
63330350400
7616125243
oct211675200
975005070
1036141696
1119445878
121012b400
137645626
144b2b25a
15328d9b6
hex2277a80

36141696 has 96 divisors (see below), whose sum is σ = 105218100. Its totient is φ = 11907072.

The previous prime is 36141673. The next prime is 36141701. The reversal of 36141696 is 69614163.

It can be written as a sum of positive squares in 2 ways, for example, as 32901696 + 3240000 = 5736^2 + 1800^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 36141696.

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 11 ways as a sum of consecutive naturals, for example, 157710 + ... + 157938.

Almost surely, 236141696 is an apocalyptic number.

36141696 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 36141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52609050).

36141696 is an abundant number, since it is smaller than the sum of its proper divisors (69076404).

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

36141696 is a wasteful number, since it uses less digits than its factorization.

36141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 36141696 is about 6011.7964037382. The cubic root of 36141696 is about 330.6253706088.

The spelling of 36141696 in words is "thirty-six million, one hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 229 274 288 384 411 458 548 576 687 822 916 1096 1152 1233 1374 1644 1832 2061 2192 2466 2748 3288 3664 4122 4384 4932 5496 6576 7328 8244 8768 9864 10992 13152 14656 16488 17536 19728 21984 26304 29312 31373 32976 39456 43968 52608 62746 65952 78912 87936 94119 125492 131904 157824 188238 250984 263808 282357 376476 501968 564714 752952 1003936 1129428 1505904 2007872 2258856 3011808 4015744 4517712 6023616 9035424 12047232 18070848 36141696