Search a number
-
+
536740560 = 243351911301
BaseRepresentation
bin11111111111100…
…000001011010000
31101101222020122000
4133333200023100
52044401144220
6125132114000
716205135166
oct3777401320
91341866560
10536740560
11255a81144
1212b905900
138727a185
14513db236
15321c4390
hex1ffe02d0

536740560 has 160 divisors (see below), whose sum is σ = 1859880960. Its totient is φ = 142272000.

The previous prime is 536740543. The next prime is 536740573. The reversal of 536740560 is 65047635.

536740560 is a `hidden beast` number, since 53 + 6 + 7 + 40 + 560 = 666.

It is a super-2 number, since 2×5367405602 = 576180857498227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 411910 + ... + 413210.

It is an arithmetic number, because the mean of its divisors is an integer number (11624256).

Almost surely, 2536740560 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 536740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929940480).

536740560 is an abundant number, since it is smaller than the sum of its proper divisors (1323140400).

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

536740560 is a wasteful number, since it uses less digits than its factorization.

536740560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 536740560 is about 23167.6619450475. The cubic root of 536740560 is about 812.6835549001.

The spelling of 536740560 in words is "five hundred thirty-six million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 191 216 240 270 360 382 432 540 573 720 764 955 1080 1146 1301 1528 1719 1910 2160 2292 2602 2865 3056 3438 3820 3903 4584 5157 5204 5730 6505 6876 7640 7806 8595 9168 10314 10408 11460 11709 13010 13752 15280 15612 17190 19515 20628 20816 22920 23418 25785 26020 27504 31224 34380 35127 39030 41256 45840 46836 51570 52040 58545 62448 68760 70254 78060 82512 93672 103140 104080 117090 137520 140508 156120 175635 187344 206280 234180 248491 281016 312240 351270 412560 468360 496982 562032 702540 745473 936720 993964 1242455 1405080 1490946 1987928 2236419 2484910 2810160 2981892 3727365 3975856 4472838 4969820 5963784 6709257 7454730 8945676 9939640 11182095 11927568 13418514 14909460 17891352 19879280 22364190 26837028 29818920 33546285 35782704 44728380 53674056 59637840 67092570 89456760 107348112 134185140 178913520 268370280 536740560