Search a number
-
+
1287029940 = 223573478831
BaseRepresentation
bin100110010110110…
…1000010010110100
310022200202220011120
41030231220102310
510113434424230
6331413303540
743615400610
oct11455502264
93280686146
101287029940
11600549709
122bb034bb0
131768465a1
14c2d06340
1577ecc310
hex4cb684b4

1287029940 has 96 divisors (see below), whose sum is σ = 4130832384. Its totient is φ = 293297280.

The previous prime is 1287029873. The next prime is 1287029963. The reversal of 1287029940 is 499207821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1287029892 and 1287029901.

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, 141325 + ... + 150155.

It is an arithmetic number, because the mean of its divisors is an integer number (43029504).

Almost surely, 21287029940 is an apocalyptic number.

1287029940 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 1287029940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065416192).

1287029940 is an abundant number, since it is smaller than the sum of its proper divisors (2843802444).

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

1287029940 is a wasteful number, since it uses less digits than its factorization.

1287029940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9197 (or 9195 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1287029940 is about 35875.1995116403. The cubic root of 1287029940 is about 1087.7511471746.

The spelling of 1287029940 in words is "one billion, two hundred eighty-seven million, twenty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 347 420 694 1041 1388 1735 2082 2429 3470 4164 4858 5205 6940 7287 8831 9716 10410 12145 14574 17662 20820 24290 26493 29148 35324 36435 44155 48580 52986 61817 72870 88310 105972 123634 132465 145740 176620 185451 247268 264930 309085 370902 529860 618170 741804 927255 1236340 1854510 3064357 3709020 6128714 9193071 12257428 15321785 18386142 21450499 30643570 36772284 42900998 45965355 61287140 64351497 85801996 91930710 107252495 128702994 183861420 214504990 257405988 321757485 429009980 643514970 1287029940