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4868460 = 22325173743
BaseRepresentation
bin10010100100100101101100
3100011100021100
4102210211230
52221242320
6252203100
756244522
oct22444554
910140240
104868460
112825823
121769490
131015c5c
1490a312
15662790
hex4a496c

4868460 has 144 divisors (see below), whose sum is σ = 16432416. Its totient is φ = 1161216.

The previous prime is 4868453. The next prime is 4868467. The reversal of 4868460 is 648684.

It is an interprime number because it is at equal distance from previous prime (4868453) and next prime (4868467).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4868467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113199 + ... + 113241.

It is an arithmetic number, because the mean of its divisors is an integer number (114114).

Almost surely, 24868460 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 4868460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216208).

4868460 is an abundant number, since it is smaller than the sum of its proper divisors (11563956).

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

4868460 is a wasteful number, since it uses less digits than its factorization.

4868460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4868460 is about 2206.4587011771. The cubic root of 4868460 is about 169.4847142088.

The spelling of 4868460 in words is "four million, eight hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 43 45 51 60 68 74 85 86 90 102 111 129 148 153 170 172 180 185 204 215 222 255 258 306 333 340 370 387 430 444 510 516 555 612 629 645 666 731 740 765 774 860 1020 1110 1258 1290 1332 1462 1530 1548 1591 1665 1887 1935 2193 2220 2516 2580 2924 3060 3145 3182 3330 3655 3774 3870 4386 4773 5661 6290 6364 6579 6660 7310 7548 7740 7955 8772 9435 9546 10965 11322 12580 13158 14319 14620 15910 18870 19092 21930 22644 23865 26316 27047 28305 28638 31820 32895 37740 43860 47730 54094 56610 57276 65790 71595 81141 95460 108188 113220 131580 135235 143190 162282 243423 270470 286380 324564 405705 486846 540940 811410 973692 1217115 1622820 2434230 4868460