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30253893390 = 2335794117011
BaseRepresentation
bin11100001011010001…
…011100011100001110
32220002110001000122000
4130023101130130032
5443424444042030
621522021533130
72120501564550
oct341321343416
986073030560
1030253893390
1111915596986
125a43b741a6
132b11b6b986
1416700594d0
15bc107b860
hex70b45c70e

30253893390 has 128 divisors (see below), whose sum is σ = 92305751040. Its totient is φ = 6907420800.

The previous prime is 30253893347. The next prime is 30253893403. The reversal of 30253893390 is 9339835203.

It is a happy number.

30253893390 is a `hidden beast` number, since 3 + 0 + 253 + 8 + 9 + 3 + 390 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1769985 + ... + 1786995.

It is an arithmetic number, because the mean of its divisors is an integer number (721138680).

Almost surely, 230253893390 is an apocalyptic number.

30253893390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30253893390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46152875520).

30253893390 is an abundant number, since it is smaller than the sum of its proper divisors (62051857650).

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

30253893390 is a wasteful number, since it uses less digits than its factorization.

30253893390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17975 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 30253893390 in words is "thirty billion, two hundred fifty-three million, eight hundred ninety-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 941 945 1882 1890 2823 4705 5646 6587 8469 9410 13174 14115 16938 17011 19761 25407 28230 32935 34022 39522 42345 50814 51033 59283 65870 84690 85055 98805 102066 118566 119077 127035 153099 170110 177849 197610 238154 254070 255165 296415 306198 355698 357231 459297 510330 592830 595385 714462 765495 889245 918594 1071693 1190770 1530990 1778490 1786155 2143386 2296485 3215079 3572310 4592970 5358465 6430158 10716930 16007351 16075395 32014702 32150790 48022053 80036755 96044106 112051457 144066159 160073510 224102914 240110265 288132318 336154371 432198477 480220530 560257285 672308742 720330795 864396954 1008463113 1120514570 1440661590 1680771855 2016926226 2160992385 3025389339 3361543710 4321984770 5042315565 6050778678 10084631130 15126946695 30253893390