Search a number
-
+
136605440 = 2851941137
BaseRepresentation
bin10000010010001…
…10111100000000
3100112001021102202
420021012330000
5234432333230
621315532332
73246061406
oct1011067400
9315037382
10136605440
1170123764
12398ba0a8
13223bc22a
14141dd476
15bed5a45
hex8246f00

136605440 has 144 divisors (see below), whose sum is σ = 355410720. Its totient is φ = 50135040.

The previous prime is 136605401. The next prime is 136605451. The reversal of 136605440 is 44506631.

It is a happy number.

It is a super-2 number, since 2×1366054402 = 37322092475187200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997052 + ... + 997188.

It is an arithmetic number, because the mean of its divisors is an integer number (2468130).

Almost surely, 2136605440 is an apocalyptic number.

136605440 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 136605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177705360).

136605440 is an abundant number, since it is smaller than the sum of its proper divisors (218805280).

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

136605440 is a wasteful number, since it uses less digits than its factorization.

136605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 136605440 is about 11687.8329899088. The cubic root of 136605440 is about 515.0183045620.

The spelling of 136605440 in words is "one hundred thirty-six million, six hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 137 152 160 164 190 205 256 274 304 320 328 380 410 548 608 640 656 685 760 779 820 1096 1216 1280 1312 1370 1520 1558 1640 2192 2432 2603 2624 2740 3040 3116 3280 3895 4384 4864 5206 5248 5480 5617 6080 6232 6560 7790 8768 10412 10496 10960 11234 12160 12464 13015 13120 15580 17536 20824 21920 22468 24320 24928 26030 26240 28085 31160 35072 41648 43840 44936 49856 52060 52480 56170 62320 83296 87680 89872 99712 104120 106723 112340 124640 166592 175360 179744 199424 208240 213446 224680 249280 333184 359488 416480 426892 449360 498560 533615 666368 718976 832960 853784 898720 997120 1067230 1437952 1665920 1707568 1797440 2134460 3331840 3415136 3594880 4268920 6830272 7189760 8537840 13660544 17075680 27321088 34151360 68302720 136605440