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133784340 = 223597127181
BaseRepresentation
bin1111111100101…
…10001100010100
3100022201221121120
413332112030110
5233222044330
621135243540
73213101544
oct776261424
9308657546
10133784340
1169577178
12389795b0
1321942141
1413aa7324
15bb29c10
hex7f96314

133784340 has 96 divisors (see below), whose sum is σ = 383545344. Its totient is φ = 34836480.

The previous prime is 133784333. The next prime is 133784351. The reversal of 133784340 is 43487331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739050 + ... + 739230.

It is an arithmetic number, because the mean of its divisors is an integer number (3995264).

Almost surely, 2133784340 is an apocalyptic number.

133784340 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 133784340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191772672).

133784340 is an abundant number, since it is smaller than the sum of its proper divisors (249761004).

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

133784340 is a wasteful number, since it uses less digits than its factorization.

133784340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 133784340 is about 11566.5180586035. The cubic root of 133784340 is about 511.4483244484.

The spelling of 133784340 in words is "one hundred thirty-three million, seven hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 127 181 194 254 291 362 381 388 485 508 543 582 635 724 762 905 970 1086 1164 1270 1455 1524 1810 1905 1940 2172 2540 2715 2910 3620 3810 5430 5820 7620 10860 12319 17557 22987 24638 35114 36957 45974 49276 52671 61595 68961 70228 73914 87785 91948 105342 114935 123190 137922 147828 175570 184785 210684 229870 246380 263355 275844 344805 351140 369570 459740 526710 689610 739140 1053420 1379220 2229739 4459478 6689217 8918956 11148695 13378434 22297390 26756868 33446085 44594780 66892170 133784340