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136680048 = 2434263401
BaseRepresentation
bin10000010010110…
…01001001110000
3100112012001210000
420021121021300
5234442230143
621321310000
73246522051
oct1011311160
9315161700
10136680048
117017481a
1239935300
132241718b
141421c728
15beecbd3
hex8259270

136680048 has 100 divisors (see below), whose sum is σ = 398086128. Its totient is φ = 45273600.

The previous prime is 136680043. The next prime is 136680121. The reversal of 136680048 is 840086631.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 136679994 and 136680021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136680043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 340648 + ... + 341048.

Almost surely, 2136680048 is an apocalyptic number.

136680048 is a gapful number since it is divisible by the number (18) 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 136680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199043064).

136680048 is an abundant number, since it is smaller than the sum of its proper divisors (261406080).

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

136680048 is a wasteful number, since it uses less digits than its factorization.

136680048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136680048 is about 11691.0242493975. The cubic root of 136680048 is about 515.1120477602.

The spelling of 136680048 in words is "one hundred thirty-six million, six hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 263 324 401 432 526 648 789 802 1052 1203 1296 1578 1604 2104 2367 2406 3156 3208 3609 4208 4734 4812 6312 6416 7101 7218 9468 9624 10827 12624 14202 14436 18936 19248 21303 21654 28404 28872 32481 37872 42606 43308 56808 57744 64962 85212 86616 105463 113616 129924 170424 173232 210926 259848 316389 340848 421852 519696 632778 843704 949167 1265556 1687408 1898334 2531112 2847501 3796668 5062224 5695002 7593336 8542503 11390004 15186672 17085006 22780008 34170012 45560016 68340024 136680048