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135561984 = 283199887
BaseRepresentation
bin10000001010010…
…00001100000000
3100110002021002020
420011020030000
5234200440414
621241321440
73234154305
oct1005101400
9313067066
10135561984
116a5807a8
1239496280
13221152bc
141400b0ac
15bd7b7a9
hex8148300

135561984 has 72 divisors (see below), whose sum is σ = 363014400. Its totient is φ = 44909568.

The previous prime is 135561983. The next prime is 135561989. The reversal of 135561984 is 489165531.

It is not an unprimeable number, because it can be changed into a prime (135561983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152389 + ... + 153275.

Almost surely, 2135561984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181507200).

135561984 is an abundant number, since it is smaller than the sum of its proper divisors (227452416).

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

135561984 is an equidigital number, since it uses as much as digits as its factorization.

135561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 135561984 is about 11643.1088631860. The cubic root of 135561984 is about 513.7036349133.

The spelling of 135561984 in words is "one hundred thirty-five million, five hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 597 768 796 887 1194 1592 1774 2388 2661 3184 3548 4776 5322 6368 7096 9552 10644 12736 14192 19104 21288 25472 28384 38208 42576 50944 56768 76416 85152 113536 152832 170304 176513 227072 340608 353026 529539 681216 706052 1059078 1412104 2118156 2824208 4236312 5648416 8472624 11296832 16945248 22593664 33890496 45187328 67780992 135561984