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78380040 = 233529101223
BaseRepresentation
bin1001010101111…
…11110000001000
312110111010012110
410222333300020
5130031130130
611435542320
71641135144
oct452776010
9173433173
1078380040
11402750a2
12222ba9a0
1313313c2b
14a5a4224
156d33ab0
hex4abfc08

78380040 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 19891200.

The previous prime is 78380039. The next prime is 78380041. The reversal of 78380040 is 4008387.

78380040 = 1142 + 1152 + ... + 6182.

It is an interprime number because it is at equal distance from previous prime (78380039) and next prime (78380041).

It is a super-2 number, since 2×783800402 = 12286861340803200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (78380041) 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, 351369 + ... + 351591.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 278380040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78380040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

78380040 is an abundant number, since it is smaller than the sum of its proper divisors (168378360).

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

78380040 is a wasteful number, since it uses less digits than its factorization.

78380040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 78380040 is about 8853.2502506142. The cubic root of 78380040 is about 427.9586677995.

The spelling of 78380040 in words is "seventy-eight million, three hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 101 116 120 145 174 202 223 232 290 303 348 404 435 446 505 580 606 669 696 808 870 892 1010 1115 1160 1212 1338 1515 1740 1784 2020 2230 2424 2676 2929 3030 3345 3480 4040 4460 5352 5858 6060 6467 6690 8787 8920 11716 12120 12934 13380 14645 17574 19401 22523 23432 25868 26760 29290 32335 35148 38802 43935 45046 51736 58580 64670 67569 70296 77604 87870 90092 97005 112615 117160 129340 135138 155208 175740 180184 194010 225230 258680 270276 337845 351480 388020 450460 540552 653167 675690 776040 900920 1306334 1351380 1959501 2612668 2702760 3265835 3919002 5225336 6531670 7838004 9797505 13063340 15676008 19595010 26126680 39190020 78380040