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111390630 = 235131753317
BaseRepresentation
bin1101010001110…
…10111110100110
321202121020012220
412220322332212
5212004000010
615015253210
72521543011
oct650727646
9252536186
10111390630
115797147a
123137a206
131a101320
1410b18378
159ba4970
hex6a3afa6

111390630 has 128 divisors (see below), whose sum is σ = 311568768. Its totient is φ = 25239552.

The previous prime is 111390623. The next prime is 111390637. The reversal of 111390630 is 36093111.

It is an interprime number because it is at equal distance from previous prime (111390623) and next prime (111390637).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 111390630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111390637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351232 + ... + 351548.

It is an arithmetic number, because the mean of its divisors is an integer number (2434131).

Almost surely, 2111390630 is an apocalyptic number.

111390630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111390630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155784384).

111390630 is an abundant number, since it is smaller than the sum of its proper divisors (200178138).

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

111390630 is a wasteful number, since it uses less digits than its factorization.

111390630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 111390630 is about 10554.1759507789. The cubic root of 111390630 is about 481.1526551858.

The spelling of 111390630 in words is "one hundred eleven million, three hundred ninety thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 53 65 78 85 102 106 130 159 170 195 221 255 265 317 318 390 442 510 530 634 663 689 795 901 951 1105 1326 1378 1585 1590 1802 1902 2067 2210 2703 3170 3315 3445 4121 4134 4505 4755 5389 5406 6630 6890 8242 9010 9510 10335 10778 11713 12363 13515 16167 16801 20605 20670 23426 24726 26945 27030 32334 33602 35139 41210 50403 53890 58565 61815 70057 70278 80835 84005 100806 117130 123630 140114 161670 168010 175695 210171 218413 252015 285617 350285 351390 420342 436826 504030 571234 655239 700570 856851 1050855 1092065 1310478 1428085 1713702 2101710 2184130 2856170 3276195 3713021 4284255 6552390 7426042 8568510 11139063 18565105 22278126 37130210 55695315 111390630