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463417140 = 223531733413
BaseRepresentation
bin11011100111110…
…010111100110100
31012022000000210210
4123213302330310
51422113322030
6113552345420
714324660244
oct3347627464
91168000723
10463417140
1121865017a
1210b245270
1375016a34
1445791b24
152aa3dbb0
hex1b9f2f34

463417140 has 96 divisors (see below), whose sum is σ = 1358171136. Its totient is φ = 117918720.

The previous prime is 463417117. The next prime is 463417147. The reversal of 463417140 is 41714364.

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

It is a junction number, because it is equal to n+sod(n) for n = 463417098 and 463417107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463417147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134074 + ... + 137486.

It is an arithmetic number, because the mean of its divisors is an integer number (14147616).

Almost surely, 2463417140 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 463417140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679085568).

463417140 is an abundant number, since it is smaller than the sum of its proper divisors (894753996).

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

463417140 is a wasteful number, since it uses less digits than its factorization.

463417140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 463417140 is about 21527.1256790125. The cubic root of 463417140 is about 773.8510286243.

The spelling of 463417140 in words is "four hundred sixty-three million, four hundred seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 73 93 124 146 155 186 219 292 310 365 372 438 465 620 730 876 930 1095 1460 1860 2190 2263 3413 4380 4526 6789 6826 9052 10239 11315 13578 13652 17065 20478 22630 27156 33945 34130 40956 45260 51195 67890 68260 102390 105803 135780 204780 211606 249149 317409 423212 498298 529015 634818 747447 996596 1058030 1245745 1269636 1494894 1587045 2116060 2491490 2989788 3174090 3737235 4982980 6348180 7474470 7723619 14948940 15447238 23170857 30894476 38618095 46341714 77236190 92683428 115854285 154472380 231708570 463417140