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672630640 = 245112926357
BaseRepresentation
bin101000000101111…
…000011101110000
31201212200011202221
4220011320131300
52334143140030
6150424450424
722445160163
oct5005703560
91655604687
10672630640
113157563a0
12169319a14
13a94788c6
1465491ada
153e0b7e7a
hex28178770

672630640 has 80 divisors (see below), whose sum is σ = 1764931680. Its totient is φ = 236149760.

The previous prime is 672630631. The next prime is 672630649. The reversal of 672630640 is 46036276.

It is an interprime number because it is at equal distance from previous prime (672630631) and next prime (672630649).

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

It is a junction number, because it is equal to n+sod(n) for n = 672630596 and 672630605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672630649) 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 15 ways as a sum of consecutive naturals, for example, 12342 + ... + 38698.

It is an arithmetic number, because the mean of its divisors is an integer number (22061646).

Almost surely, 2672630640 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 672630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882465840).

672630640 is an abundant number, since it is smaller than the sum of its proper divisors (1092301040).

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

672630640 is a wasteful number, since it uses less digits than its factorization.

672630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26410 (or 26404 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 672630640 is about 25935.1236742762. The cubic root of 672630640 is about 876.1777403218.

The spelling of 672630640 in words is "six hundred seventy-two million, six hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 26357 52714 105428 131785 210856 263570 289927 421712 527140 579854 764353 1054280 1159708 1449635 1528706 2108560 2319416 2899270 3057412 3821765 4638832 5798540 6114824 7643530 8407883 11597080 12229648 15287060 16815766 23194160 30574120 33631532 42039415 61148240 67263064 84078830 134526128 168157660 336315320 672630640