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136995760 = 24511413797
BaseRepresentation
bin10000010101001…
…10001110110000
3100112210002212001
420022212032300
5240032331020
621332143344
73252305356
oct1012461660
9315702761
10136995760
117036aa40
1239a67b54
13224c7aa5
14142a17d6
15c06150a
hex82a63b0

136995760 has 80 divisors (see below), whose sum is σ = 356039712. Its totient is φ = 48588800.

The previous prime is 136995743. The next prime is 136995763. The reversal of 136995760 is 67599631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 136995760.

It is not an unprimeable number, because it can be changed into a prime (136995763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34182 + ... + 37978.

Almost surely, 2136995760 is an apocalyptic number.

136995760 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 136995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178019856).

136995760 is an abundant number, since it is smaller than the sum of its proper divisors (219043952).

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

136995760 is a wasteful number, since it uses less digits than its factorization.

136995760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 46.

The square root of 136995760 is about 11704.5187854948. The cubic root of 136995760 is about 515.5083552981.

The spelling of 136995760 in words is "one hundred thirty-six million, nine hundred ninety-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 3797 4510 7216 7594 9020 15188 18040 18985 30376 36080 37970 41767 60752 75940 83534 151880 155677 167068 208835 303760 311354 334136 417670 622708 668272 778385 835340 1245416 1556770 1670680 1712447 2490832 3113540 3341360 3424894 6227080 6849788 8562235 12454160 13699576 17124470 27399152 34248940 68497880 136995760