Search a number
-
+
1314035520 = 26357195541
BaseRepresentation
bin100111001010010…
…1001011101000000
310101120120220212020
41032110221131000
510142343114040
6334220201440
744364055230
oct11624513500
93346526766
101314035520
11614814376
12308099280
1317c310615
14c6735cc0
157a563cd0
hex4e529740

1314035520 has 112 divisors (see below), whose sum is σ = 4768096128. Its totient is φ = 300349440.

The previous prime is 1314035509. The next prime is 1314035531. The reversal of 1314035520 is 255304131.

It is an interprime number because it is at equal distance from previous prime (1314035509) and next prime (1314035531).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91051 + ... + 104490.

Almost surely, 21314035520 is an apocalyptic number.

1314035520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314035520 is an abundant number, since it is smaller than the sum of its proper divisors (3454060608).

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

1314035520 is a wasteful number, since it uses less digits than its factorization.

1314035520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195568 (or 195558 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1314035520 is about 36249.6278601588. The cubic root of 1314035520 is about 1095.3065924910.

Adding to 1314035520 its reverse (255304131), we get a palindrome (1569339651).

The spelling of 1314035520 in words is "one billion, three hundred fourteen million, thirty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 195541 391082 586623 782164 977705 1173246 1368787 1564328 1955410 2346492 2737574 2933115 3128656 3910820 4106361 4692984 5475148 5866230 6257312 6843935 7821640 8212722 9385968 10950296 11732460 12514624 13687870 15643280 16425444 18771936 20531805 21900592 23464920 27375740 31286560 32850888 37543872 41063610 43801184 46929840 54751480 62573120 65701776 82127220 87602368 93859680 109502960 131403552 164254440 187719360 219005920 262807104 328508880 438011840 657017760 1314035520