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4880640 = 28353141
BaseRepresentation
bin10010100111100100000000
3100011221222110
4102213210000
52222140030
6252335320
756325162
oct22474400
910157873
104880640
112833996
121774540
13101b66b
14910932
156661b0
hex4a7900

4880640 has 144 divisors (see below), whose sum is σ = 16482816. Its totient is φ = 1228800.

The previous prime is 4880639. The next prime is 4880713. The reversal of 4880640 is 460884.

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 = 4880598 and 4880607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119020 + ... + 119060.

It is an arithmetic number, because the mean of its divisors is an integer number (114464).

Almost surely, 24880640 is an apocalyptic number.

4880640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408).

4880640 is an abundant number, since it is smaller than the sum of its proper divisors (11602176).

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

4880640 is a wasteful number, since it uses less digits than its factorization.

4880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4880640 is about 2209.2170558820. The cubic root of 4880640 is about 169.6259364630.

The spelling of 4880640 in words is "four million, eight hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 41 48 60 62 64 80 82 93 96 120 123 124 128 155 160 164 186 192 205 240 246 248 256 310 320 328 372 384 410 465 480 492 496 615 620 640 656 744 768 820 930 960 984 992 1230 1240 1271 1280 1312 1488 1640 1860 1920 1968 1984 2460 2480 2542 2624 2976 3280 3720 3813 3840 3936 3968 4920 4960 5084 5248 5952 6355 6560 7440 7626 7872 7936 9840 9920 10168 10496 11904 12710 13120 14880 15252 15744 19065 19680 19840 20336 23808 25420 26240 29760 30504 31488 38130 39360 39680 40672 50840 52480 59520 61008 76260 78720 81344 101680 119040 122016 152520 157440 162688 203360 244032 305040 325376 406720 488064 610080 813440 976128 1220160 1626880 2440320 4880640