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133489728 = 2633671153
BaseRepresentation
bin1111111010011…
…10010001000000
3100022011222111000
413331032101000
5233133132403
621125052000
73210433611
oct775162100
9308158430
10133489728
1169395899
1238857000
132186b008
1413a2bc08
15babc7a3
hex7f4e440

133489728 has 112 divisors (see below), whose sum is σ = 398637760. Its totient is φ = 43794432.

The previous prime is 133489717. The next prime is 133489739. The reversal of 133489728 is 827984331.

It is an interprime number because it is at equal distance from previous prime (133489717) and next prime (133489739).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115200 + ... + 116352.

Almost surely, 2133489728 is an apocalyptic number.

133489728 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 133489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199318880).

133489728 is an abundant number, since it is smaller than the sum of its proper divisors (265148032).

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

133489728 is a wasteful number, since it uses less digits than its factorization.

133489728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1225 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 133489728 is about 11553.7754868268. The cubic root of 133489728 is about 511.0726213962.

The spelling of 133489728 in words is "one hundred thirty-three million, four hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 268 288 402 432 536 576 603 804 864 1072 1153 1206 1608 1728 1809 2144 2306 2412 3216 3459 3618 4288 4612 4824 6432 6918 7236 9224 9648 10377 12864 13836 14472 18448 19296 20754 27672 28944 31131 36896 38592 41508 55344 57888 62262 73792 77251 83016 110688 115776 124524 154502 166032 221376 231753 249048 309004 332064 463506 498096 618008 664128 695259 927012 996192 1236016 1390518 1854024 1992384 2085777 2472032 2781036 3708048 4171554 4944064 5562072 7416096 8343108 11124144 14832192 16686216 22248288 33372432 44496576 66744864 133489728