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536765320 = 235713239617
BaseRepresentation
bin11111111111100…
…110001110001000
31101102000111121001
4133333212032020
52044402442240
6125132424344
716205300320
oct3777461610
91342014531
10536765320
11255a98803
1212b9180b4
1387288520
1451406280
15321cb89a
hex1ffe6388

536765320 has 128 divisors (see below), whose sum is σ = 1495065600. Its totient is φ = 168892416.

The previous prime is 536765269. The next prime is 536765323. The reversal of 536765320 is 23567635.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 536765320.

It is not an unprimeable number, because it can be changed into a prime (536765323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869652 + ... + 870268.

It is an arithmetic number, because the mean of its divisors is an integer number (11680200).

Almost surely, 2536765320 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 536765320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747532800).

536765320 is an abundant number, since it is smaller than the sum of its proper divisors (958300280).

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

536765320 is a wasteful number, since it uses less digits than its factorization.

536765320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 37.

The square root of 536765320 is about 23168.1963044170. The cubic root of 536765320 is about 812.6960511518.

It can be divided in two parts, 53676 and 5320, that added together give a triangular number (58996 = T343).

The spelling of 536765320 in words is "five hundred thirty-six million, seven hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 239 260 280 364 455 478 520 617 728 910 956 1195 1234 1673 1820 1912 2390 2468 3085 3107 3346 3640 4319 4780 4936 6170 6214 6692 8021 8365 8638 9560 12340 12428 13384 15535 16042 16730 17276 21595 21749 24680 24856 31070 32084 33460 34552 40105 43190 43498 56147 62140 64168 66920 80210 86380 86996 108745 112294 124280 147463 160420 172760 173992 217490 224588 280735 294926 320840 434980 449176 561470 589852 737315 869960 1032241 1122940 1179704 1474630 1917019 2064482 2245880 2949260 3834038 4128964 5161205 5898520 7668076 8257928 9585095 10322410 13419133 15336152 19170190 20644820 26838266 38340380 41289640 53676532 67095665 76680760 107353064 134191330 268382660 536765320