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134669040 = 243511291759
BaseRepresentation
bin10000000011011…
…10001011110000
3100101101220012020
420001232023300
5233433402130
621210231440
73223445052
oct1001561360
9311356166
10134669040
116a020930
1239125580
1321b91a2c
1413c578d2
15bc51e10
hex806e2f0

134669040 has 160 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 31503360.

The previous prime is 134669027. The next prime is 134669047. The reversal of 134669040 is 40966431.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 134668992 and 134669010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134669047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75681 + ... + 77439.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2134669040 is an apocalyptic number.

134669040 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 134669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

134669040 is an abundant number, since it is smaller than the sum of its proper divisors (336729360).

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

134669040 is a wasteful number, since it uses less digits than its factorization.

134669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 134669040 is about 11604.6990482304. The cubic root of 134669040 is about 512.5732308602.

The spelling of 134669040 in words is "one hundred thirty-four million, six hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1759 1914 2320 2552 2640 3190 3480 3518 3828 4785 5104 5277 6380 6960 7036 7656 8795 9570 10554 12760 14072 15312 17590 19140 19349 21108 25520 26385 28144 35180 38280 38698 42216 51011 52770 58047 70360 76560 77396 84432 96745 102022 105540 116094 140720 153033 154792 193490 204044 211080 232188 255055 290235 306066 309584 386980 408088 422160 464376 510110 561121 580470 612132 765165 773960 816176 928752 1020220 1122242 1160940 1224264 1530330 1547920 1683363 2040440 2244484 2321880 2448528 2805605 3060660 3366726 4080880 4488968 4643760 5611210 6121320 6733452 8416815 8977936 11222420 12242640 13466904 16833630 22444840 26933808 33667260 44889680 67334520 134669040