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136884480 = 283543829
BaseRepresentation
bin10000010100010…
…11000100000000
3100112120110012120
420022023010000
5240020300410
621325524240
73251333055
oct1012130400
9315513176
10136884480
11702a4377
1239a13680
1322489245
141427302c
15c03d570
hex828b100

136884480 has 144 divisors (see below), whose sum is σ = 447881280. Its totient is φ = 35610624.

The previous prime is 136884457. The next prime is 136884481. The reversal of 136884480 is 84488631.

It is not an unprimeable number, because it can be changed into a prime (136884481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 164706 + ... + 165534.

Almost surely, 2136884480 is an apocalyptic number.

136884480 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 136884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223940640).

136884480 is an abundant number, since it is smaller than the sum of its proper divisors (310996800).

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

136884480 is an equidigital number, since it uses as much as digits as its factorization.

136884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 136884480 is about 11699.7641001860. The cubic root of 136884480 is about 515.3687370859.

The spelling of 136884480 in words is "one hundred thirty-six million, eight hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 516 640 645 688 768 829 860 960 1032 1280 1290 1376 1658 1720 1920 2064 2487 2580 2752 3316 3440 3840 4128 4145 4974 5160 5504 6632 6880 8256 8290 9948 10320 11008 12435 13264 13760 16512 16580 19896 20640 24870 26528 27520 33024 33160 35647 39792 41280 49740 53056 55040 66320 71294 79584 82560 99480 106112 106941 132640 142588 159168 165120 178235 198960 212224 213882 265280 285176 318336 356470 397920 427764 530560 534705 570352 636672 712940 795840 855528 1061120 1069410 1140704 1425880 1591680 1711056 2138820 2281408 2851760 3183360 3422112 4277640 4562816 5703520 6844224 8555280 9125632 11407040 13688448 17110560 22814080 27376896 34221120 45628160 68442240 136884480