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1242440040 = 2335292231601
BaseRepresentation
bin100101000001110…
…0010000101101000
310012120212111022210
41022003202011220
510021031040130
6323141445120
742534365112
oct11203420550
93176774283
101242440040
11588363656
122a81107a0
1316a53382a
14bb01a3b2
15741205b0
hex4a0e2168

1242440040 has 128 divisors (see below), whose sum is σ = 3875558400. Its totient is φ = 318259200.

The previous prime is 1242440033. The next prime is 1242440051. The reversal of 1242440040 is 400442421.

It is a junction number, because it is equal to n+sod(n) for n = 1242439989 and 1242440016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775240 + ... + 776840.

It is an arithmetic number, because the mean of its divisors is an integer number (30277800).

Almost surely, 21242440040 is an apocalyptic number.

1242440040 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 1242440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937779200).

1242440040 is an abundant number, since it is smaller than the sum of its proper divisors (2633118360).

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

1242440040 is a wasteful number, since it uses less digits than its factorization.

1242440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1242440040 is about 35248.2629359235. The cubic root of 1242440040 is about 1075.0412935283.

Adding to 1242440040 its reverse (400442421), we get a palindrome (1642882461).

The spelling of 1242440040 in words is "one billion, two hundred forty-two million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 223 232 290 348 435 446 580 669 696 870 892 1115 1160 1338 1601 1740 1784 2230 2676 3202 3345 3480 4460 4803 5352 6404 6467 6690 8005 8920 9606 12808 12934 13380 16010 19212 19401 24015 25868 26760 32020 32335 38424 38802 46429 48030 51736 64040 64670 77604 92858 96060 97005 129340 139287 155208 185716 192120 194010 232145 258680 278574 357023 371432 388020 464290 557148 696435 714046 776040 928580 1071069 1114296 1392870 1428092 1785115 1857160 2142138 2785740 2856184 3570230 4284276 5355345 5571480 7140460 8568552 10353667 10710690 14280920 20707334 21421380 31061001 41414668 42842760 51768335 62122002 82829336 103536670 124244004 155305005 207073340 248488008 310610010 414146680 621220020 1242440040