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4678380 = 2232574779
BaseRepresentation
bin10001110110001011101100
322210200112100
4101312023230
52144202010
6244135100
754523410
oct21661354
98720470
104678380
112705a33
121697490
13c7a595
1489ad40
156262c0
hex4762ec

4678380 has 144 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 1033344.

The previous prime is 4678343. The next prime is 4678381. The reversal of 4678380 is 838764.

4678380 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (4678381) 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, 59181 + ... + 59259.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

Almost surely, 24678380 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 4678380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

4678380 is an abundant number, since it is smaller than the sum of its proper divisors (12094740).

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

4678380 is a wasteful number, since it uses less digits than its factorization.

4678380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4678380 is about 2162.9563102384. The cubic root of 4678380 is about 167.2496296586.

The spelling of 4678380 in words is "four million, six hundred seventy-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 79 84 90 94 105 126 140 141 158 180 188 210 235 237 252 282 315 316 329 395 420 423 470 474 553 564 630 658 705 711 790 846 940 948 987 1106 1185 1260 1316 1410 1422 1580 1645 1659 1692 1974 2115 2212 2370 2765 2820 2844 2961 3290 3318 3555 3713 3948 4230 4740 4935 4977 5530 5922 6580 6636 7110 7426 8295 8460 9870 9954 11060 11139 11844 14220 14805 14852 16590 18565 19740 19908 22278 24885 25991 29610 33180 33417 37130 44556 49770 51982 55695 59220 66834 74260 77973 99540 103964 111390 129955 133668 155946 167085 222780 233919 259910 311892 334170 389865 467838 519820 668340 779730 935676 1169595 1559460 2339190 4678380