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468532740 = 2235134611303
BaseRepresentation
bin11011111011010…
…011111000000100
31012122121221002110
4123323103320010
51424421021430
6114254141020
714416314444
oct3373237004
91178557073
10468532740
11220524645
12110ab1770
13760b8310
1446324124
152b1ee7b0
hex1bed3e04

468532740 has 96 divisors (see below), whose sum is σ = 1416957696. Its totient is φ = 114992640.

The previous prime is 468532717. The next prime is 468532751. The reversal of 468532740 is 47235864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358929 + ... + 360231.

It is an arithmetic number, because the mean of its divisors is an integer number (14759976).

Almost surely, 2468532740 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 468532740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708478848).

468532740 is an abundant number, since it is smaller than the sum of its proper divisors (948424956).

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

468532740 is a wasteful number, since it uses less digits than its factorization.

468532740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 468532740 is about 21645.6171083201. The cubic root of 468532740 is about 776.6880941937.

The spelling of 468532740 in words is "four hundred sixty-eight million, five hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 461 780 922 1303 1383 1844 2305 2606 2766 3909 4610 5212 5532 5993 6515 6915 7818 9220 11986 13030 13830 15636 16939 17979 19545 23972 26060 27660 29965 33878 35958 39090 50817 59930 67756 71916 78180 84695 89895 101634 119860 169390 179790 203268 254085 338780 359580 508170 600683 1016340 1201366 1802049 2402732 3003415 3604098 6006830 7208196 7808879 9010245 12013660 15617758 18020490 23426637 31235516 36040980 39044395 46853274 78088790 93706548 117133185 156177580 234266370 468532740