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673985130 = 235713271911
BaseRepresentation
bin101000001011000…
…011001001101010
31201222012222210020
4220023003021222
52340020011010
6150513501310
722462531140
oct5013031152
91658188706
10673985130
113164a1005
12169871836
13a9831290
1465725590
153e284470
hex282c326a

673985130 has 128 divisors (see below), whose sum is σ = 2000388096. Its totient is φ = 141523200.

The previous prime is 673985099. The next prime is 673985131. The reversal of 673985130 is 31589376.

It is a super-2 number, since 2×6739851302 = 908511910922233800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (673985131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739375 + ... + 740285.

It is an arithmetic number, because the mean of its divisors is an integer number (15628032).

Almost surely, 2673985130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673985130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000194048).

673985130 is an abundant number, since it is smaller than the sum of its proper divisors (1326402966).

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

673985130 is a wasteful number, since it uses less digits than its factorization.

673985130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 673985130 is about 25961.2235844153. The cubic root of 673985130 is about 876.7654716346.

The spelling of 673985130 in words is "six hundred seventy-three million, nine hundred eighty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 271 273 390 455 542 546 813 910 911 1355 1365 1626 1822 1897 2710 2730 2733 3523 3794 4065 4555 5466 5691 6377 7046 8130 9110 9485 10569 11382 11843 12754 13665 17615 18970 19131 21138 23686 24661 27330 28455 31885 35230 35529 38262 49322 52845 56910 59215 63770 71058 73983 82901 95655 105690 118430 123305 147966 165802 177645 191310 246610 246881 248703 355290 369915 414505 493762 497406 739830 740643 829010 1234405 1243515 1481286 1728167 2468810 2487030 3209453 3456334 3703215 5184501 6418906 7406430 8640835 9628359 10369002 16047265 17281670 19256718 22466171 25922505 32094530 44932342 48141795 51845010 67398513 96283590 112330855 134797026 224661710 336992565 673985130