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116623320 = 233511531667
BaseRepresentation
bin1101111001110…
…00011111011000
322010110002010020
412330320133120
5214323421240
615323350440
72614165452
oct674703730
9263402106
10116623320
115a915910
1233082420
131b213ca8
14116bb2d2
15a38a0d0
hex6f387d8

116623320 has 128 divisors (see below), whose sum is σ = 389111040. Its totient is φ = 27722240.

The previous prime is 116623301. The next prime is 116623321. The reversal of 116623320 is 23326611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116623321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69127 + ... + 70793.

It is an arithmetic number, because the mean of its divisors is an integer number (3039930).

Almost surely, 2116623320 is an apocalyptic number.

116623320 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 116623320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194555520).

116623320 is an abundant number, since it is smaller than the sum of its proper divisors (272487720).

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

116623320 is a wasteful number, since it uses less digits than its factorization.

116623320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 116623320 is about 10799.2277501681. The cubic root of 116623320 is about 488.5718795034.

Adding to 116623320 its reverse (23326611), we get a palindrome (139949931).

The spelling of 116623320 in words is "one hundred sixteen million, six hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1667 1749 2120 2332 2915 3180 3334 3498 4664 5001 5830 6360 6668 6996 8335 8745 10002 11660 13336 13992 16670 17490 18337 20004 23320 25005 33340 34980 36674 40008 50010 55011 66680 69960 73348 88351 91685 100020 110022 146696 176702 183370 200040 220044 265053 275055 353404 366740 440088 441755 530106 550110 706808 733480 883510 971861 1060212 1100220 1325265 1767020 1943722 2120424 2200440 2650530 2915583 3534040 3887444 4859305 5301060 5831166 7774888 9718610 10602120 11662332 14577915 19437220 23324664 29155830 38874440 58311660 116623320