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1242645000 = 23354372239
BaseRepresentation
bin100101000010001…
…0100001000001000
310012121020220110220
41022010110020020
510021104120000
6323150110040
742536210502
oct11204241010
93177226426
101242645000
11588493643
122a81ab320
1316a5a5bcc
14bb070d72
15741611a0
hex4a114208

1242645000 has 160 divisors (see below), whose sum is σ = 3988723200. Its totient is φ = 322272000.

The previous prime is 1242644999. The next prime is 1242645059. The reversal of 1242645000 is 5462421.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 553881 + ... + 556119.

It is an arithmetic number, because the mean of its divisors is an integer number (24929520).

Almost surely, 21242645000 is an apocalyptic number.

1242645000 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 1242645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994361600).

1242645000 is an abundant number, since it is smaller than the sum of its proper divisors (2746078200).

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

1242645000 is a wasteful number, since it uses less digits than its factorization.

1242645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1242645000 is about 35251.1701933425. The cubic root of 1242645000 is about 1075.1004052604.

The spelling of 1242645000 in words is "one billion, two hundred forty-two million, six hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 625 740 750 888 925 1000 1110 1250 1480 1500 1850 1875 2220 2239 2500 2775 3000 3700 3750 4440 4478 4625 5000 5550 6717 7400 7500 8956 9250 11100 11195 13434 13875 15000 17912 18500 22200 22390 23125 26868 27750 33585 37000 44780 46250 53736 55500 55975 67170 69375 82843 89560 92500 111000 111950 134340 138750 165686 167925 185000 223900 248529 268680 277500 279875 331372 335850 414215 447800 497058 555000 559750 662744 671700 828430 839625 994116 1119500 1242645 1343400 1399375 1656860 1679250 1988232 2071075 2239000 2485290 2798750 3313720 3358500 4142150 4198125 4970580 5597500 6213225 6717000 8284300 8396250 9941160 10355375 11195000 12426450 16568600 16792500 20710750 24852900 31066125 33585000 41421500 49705800 51776875 62132250 82843000 103553750 124264500 155330625 207107500 248529000 310661250 414215000 621322500 1242645000