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136487680 = 285715233
BaseRepresentation
bin10000010001010…
…10001100000000
3100111211021220021
420020222030000
5234420101210
621313223224
73245061160
oct1010521400
9314737807
10136487680
117005323a
1239861b14
132237a754
14141ac5a0
15beb0bda
hex822a300

136487680 has 72 divisors (see below), whose sum is σ = 373659552. Its totient is φ = 46792704.

The previous prime is 136487657. The next prime is 136487693. The reversal of 136487680 is 86784631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344 + ... + 16576.

It is an arithmetic number, because the mean of its divisors is an integer number (5189716).

Almost surely, 2136487680 is an apocalyptic number.

136487680 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 136487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186829776).

136487680 is an abundant number, since it is smaller than the sum of its proper divisors (237171872).

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

136487680 is an equidigital number, since it uses as much as digits as its factorization.

136487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15261 (or 15247 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 136487680 is about 11682.7941863237. The cubic root of 136487680 is about 514.8702724115.

The spelling of 136487680 in words is "one hundred thirty-six million, four hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 15233 30466 60932 76165 106631 121864 152330 213262 243728 304660 426524 487456 533155 609320 853048 974912 1066310 1218640 1706096 1949824 2132620 2437280 3412192 3899648 4265240 4874560 6824384 8530480 9749120 13648768 17060960 19498240 27297536 34121920 68243840 136487680