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74000720 = 2453153563
BaseRepresentation
bin1000110100100…
…10100101010000
312011020121220102
410122102211100
5122421010340
611202031532
71555665353
oct432224520
9164217812
1074000720
1138853922
12209485a8
131243c811
149b8429a
15676b215
hex4692950

74000720 has 80 divisors (see below), whose sum is σ = 181274112. Its totient is φ = 28055040.

The previous prime is 74000713. The next prime is 74000723. The reversal of 74000720 is 2700047.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×740007202 = 10952213121036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 74000692 and 74000701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74000723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131159 + ... + 131721.

Almost surely, 274000720 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 74000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90637056).

74000720 is an abundant number, since it is smaller than the sum of its proper divisors (107273392).

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

74000720 is a wasteful number, since it uses less digits than its factorization.

74000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 74000720 is about 8602.3671160908. The cubic root of 74000720 is about 419.8350069991.

Adding to 74000720 its reverse (2700047), we get a palindrome (76700767).

The spelling of 74000720 in words is "seventy-four million, seven hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 31 40 53 62 80 106 124 155 212 248 265 310 424 496 530 563 620 848 1060 1126 1240 1643 2120 2252 2480 2815 3286 4240 4504 5630 6572 8215 9008 11260 13144 16430 17453 22520 26288 29839 32860 34906 45040 59678 65720 69812 87265 119356 131440 139624 149195 174530 238712 279248 298390 349060 477424 596780 698120 925009 1193560 1396240 1850018 2387120 3700036 4625045 7400072 9250090 14800144 18500180 37000360 74000720