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1005242940 = 2233513143197
BaseRepresentation
bin111011111010101…
…100101000111100
32121001112122002000
4323322230220330
54024320233230
6243425502300
733624265302
oct7372545074
92531478060
101005242940
11476484999
122407a1990
13130354710
1497714272
155d3b9b60
hex3beaca3c

1005242940 has 96 divisors (see below), whose sum is σ = 3368016960. Its totient is φ = 247442688.

The previous prime is 1005242939. The next prime is 1005242951. The reversal of 1005242940 is 492425001.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 64579 + ... + 78618.

It is an arithmetic number, because the mean of its divisors is an integer number (35083510).

Almost surely, 21005242940 is an apocalyptic number.

1005242940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005242940 is an abundant number, since it is smaller than the sum of its proper divisors (2362774020).

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

1005242940 is a wasteful number, since it uses less digits than its factorization.

1005242940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143228 (or 143220 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1005242940 is about 31705.5663882543. The cubic root of 1005242940 is about 1001.7446012631.

Adding to 1005242940 its reverse (492425001), we get a palindrome (1497667941).

The spelling of 1005242940 in words is "one billion, five million, two hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 143197 286394 429591 572788 715985 859182 1288773 1431970 1718364 1861561 2147955 2577546 2863940 3723122 3866319 4295910 5155092 5584683 6443865 7446244 7732638 8591820 9307805 11169366 12887730 15465276 16754049 18615610 19331595 22338732 25775460 27923415 33508098 37231220 38663190 50262147 55846830 67016196 77326380 83770245 100524294 111693660 167540490 201048588 251310735 335080980 502621470 1005242940