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4975360 = 28513223
BaseRepresentation
bin10010111110101100000000
3100100202220121
4102332230000
52233202420
6254350024
760201265
oct22765400
910322817
104975360
112899075
1217bb314
131052800
1493726c
156842aa
hex4beb00

4975360 has 108 divisors (see below), whose sum is σ = 13465872. Its totient is φ = 1757184.

The previous prime is 4975351. The next prime is 4975387. The reversal of 4975360 is 635794.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216309 + ... + 216331.

It is an arithmetic number, because the mean of its divisors is an integer number (124684).

Almost surely, 24975360 is an apocalyptic number.

4975360 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 4975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732936).

4975360 is an abundant number, since it is smaller than the sum of its proper divisors (8490512).

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

4975360 is a wasteful number, since it uses less digits than its factorization.

4975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 4975360 is about 2230.5515013108. The cubic root of 4975360 is about 170.7162399394.

It can be divided in two parts, 4975 and 360, that added together give a palindrome (5335).

The spelling of 4975360 in words is "four million, nine hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 169 184 208 230 256 260 299 320 338 368 416 460 520 598 640 676 736 832 845 920 1040 1196 1280 1352 1472 1495 1664 1690 1840 2080 2392 2704 2944 2990 3328 3380 3680 3887 4160 4784 5408 5888 5980 6760 7360 7774 8320 9568 10816 11960 13520 14720 15548 16640 19136 19435 21632 23920 27040 29440 31096 38272 38870 43264 47840 54080 62192 76544 77740 95680 108160 124384 155480 191360 216320 248768 310960 382720 497536 621920 995072 1243840 2487680 4975360