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201310720 = 2951323263
BaseRepresentation
bin10111111111111…
…00001000000000
3112000210122101121
423333330020000
5403013420340
631550442024
74663053502
oct1377741000
9460718347
10201310720
11a36a87a6
1257503314
1332925a90
141ca43d72
1512a1794a
hexbffc200

201310720 has 160 divisors (see below), whose sum is σ = 544465152. Its totient is φ = 70828032.

The previous prime is 201310717. The next prime is 201310741. The reversal of 201310720 is 27013102.

It is a happy number.

201310720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201310694 and 201310703.

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, 765309 + ... + 765571.

Almost surely, 2201310720 is an apocalyptic number.

201310720 is a gapful number since it is divisible by the number (20) 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 201310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272232576).

201310720 is an abundant number, since it is smaller than the sum of its proper divisors (343154432).

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

201310720 is a wasteful number, since it uses less digits than its factorization.

201310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 201310720 is about 14188.4008965070. The cubic root of 201310720 is about 586.0782898114.

Adding to 201310720 its reverse (27013102), we get a palindrome (228323822).

It can be divided in two parts, 20 and 1310720, that multiplied together give a square (26214400 = 51202).

The spelling of 201310720 in words is "two hundred one million, three hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 256 260 263 299 320 368 416 460 512 520 526 598 640 736 832 920 1040 1052 1196 1280 1315 1472 1495 1664 1840 2080 2104 2392 2560 2630 2944 2990 3328 3419 3680 4160 4208 4784 5260 5888 5980 6049 6656 6838 7360 8320 8416 9568 10520 11776 11960 12098 13676 14720 16640 16832 17095 19136 21040 23920 24196 27352 29440 30245 33280 33664 34190 38272 42080 47840 48392 54704 58880 60490 67328 68380 76544 78637 84160 95680 96784 109408 120980 134656 136760 153088 157274 168320 191360 193568 218816 241960 273520 314548 336640 382720 387136 393185 437632 483920 547040 629096 673280 765440 774272 786370 875264 967840 1094080 1258192 1548544 1572740 1750528 1935680 2188160 2516384 3097088 3145480 3871360 4376320 5032768 6290960 7742720 8752640 10065536 12581920 15485440 20131072 25163840 40262144 50327680 100655360 201310720