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116446000 = 2453116779
BaseRepresentation
bin1101111000011…
…01001100110000
322010010001212211
412330031030300
5214302233000
615315501504
72612526466
oct674151460
9263101784
10116446000
115a804670
1232bb7894
131b181378
1411672836
15a3527ba
hex6f0d330

116446000 has 160 divisors (see below), whose sum is σ = 315694080. Its totient is φ = 41184000.

The previous prime is 116445997. The next prime is 116446007. The reversal of 116446000 is 644611.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (116446007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1473961 + ... + 1474039.

It is an arithmetic number, because the mean of its divisors is an integer number (1973088).

Almost surely, 2116446000 is an apocalyptic number.

116446000 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 116446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

116446000 is an abundant number, since it is smaller than the sum of its proper divisors (199248080).

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

116446000 is a wasteful number, since it uses less digits than its factorization.

116446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 116446000 is about 10791.0147808258. The cubic root of 116446000 is about 488.3241374276.

The spelling of 116446000 in words is "one hundred sixteen million, four hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 67 79 80 88 100 110 125 134 158 176 200 220 250 268 275 316 335 395 400 440 500 536 550 632 670 737 790 869 880 1000 1072 1100 1264 1340 1375 1474 1580 1675 1738 1975 2000 2200 2680 2750 2948 3160 3350 3476 3685 3950 4345 4400 5293 5360 5500 5896 6320 6700 6952 7370 7900 8375 8690 9875 10586 11000 11792 13400 13904 14740 15800 16750 17380 18425 19750 21172 21725 22000 26465 26800 29480 31600 33500 34760 36850 39500 42344 43450 52930 58223 58960 67000 69520 73700 79000 84688 86900 92125 105860 108625 116446 132325 134000 147400 158000 173800 184250 211720 217250 232892 264650 291115 294800 347600 368500 423440 434500 465784 529300 582230 661625 737000 869000 931568 1058600 1164460 1323250 1455575 1474000 1738000 2117200 2328920 2646500 2911150 4657840 5293000 5822300 7277875 10586000 11644600 14555750 23289200 29111500 58223000 116446000