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942107040 = 25325793463
BaseRepresentation
bin111000001001110…
…110100110100000
32102122201222220100
4320021312212200
53412134411130
6233252342400
732226530520
oct7011664640
92378658810
10942107040
11443881a66
12223614a00
1312024a2b4
148d19b680
1557a97c60
hex382769a0

942107040 has 144 divisors (see below), whose sum is σ = 3674256768. Its totient is φ = 215336448.

The previous prime is 942107027. The next prime is 942107051. The reversal of 942107040 is 40701249.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 942106995 and 942107013.

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 23 ways as a sum of consecutive naturals, for example, 36652 + ... + 56811.

It is an arithmetic number, because the mean of its divisors is an integer number (25515672).

Almost surely, 2942107040 is an apocalyptic number.

942107040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

942107040 is an abundant number, since it is smaller than the sum of its proper divisors (2732149728).

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

942107040 is a wasteful number, since it uses less digits than its factorization.

942107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93491 (or 93480 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 942107040 is about 30693.7622327404. The cubic root of 942107040 is about 980.3174870269.

Adding to 942107040 its reverse (40701249), we get a palindrome (982808289).

The spelling of 942107040 in words is "nine hundred forty-two million, one hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 93463 186926 280389 373852 467315 560778 654241 747704 841167 934630 1121556 1308482 1401945 1495408 1682334 1869260 1962723 2243112 2616964 2803890 2990816 3271205 3364668 3738520 3925446 4205835 4486224 5233928 5607780 5888169 6542410 6729336 7477040 7850892 8411670 8972448 9813615 10467856 11215560 11776338 13084820 13458672 14954080 15701784 16823340 19627230 20935712 22431120 23552676 26169640 26917344 29440845 31403568 33646680 39254460 44862240 47105352 52339280 58881690 62807136 67293360 78508920 94210704 104678560 117763380 134586720 157017840 188421408 235526760 314035680 471053520 942107040