Search a number
-
+
421207360 = 2657434373
BaseRepresentation
bin11001000110110…
…001110101000000
31002100120112212121
4121012301311000
51330312113420
6105443534024
713303126540
oct3106616500
91070515777
10421207360
111a6840362
12b908a314
1369358432
143dd25320
1526ea22aa
hex191b1d40

421207360 has 112 divisors (see below), whose sum is σ = 1173211776. Its totient is φ = 141023232.

The previous prime is 421207337. The next prime is 421207417. The reversal of 421207360 is 63702124.

It is a tau number, because it is divible by the number of its divisors (112).

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, 94134 + ... + 98506.

Almost surely, 2421207360 is an apocalyptic number.

421207360 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 421207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586605888).

421207360 is an abundant number, since it is smaller than the sum of its proper divisors (752004416).

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

421207360 is a wasteful number, since it uses less digits than its factorization.

421207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 421207360 is about 20523.3369606407. The cubic root of 421207360 is about 749.6041525913.

Adding to 421207360 its reverse (63702124), we get a palindrome (484909484).

The spelling of 421207360 in words is "four hundred twenty-one million, two hundred seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 140 160 172 215 224 280 301 320 344 430 448 560 602 688 860 1120 1204 1376 1505 1720 2240 2408 2752 3010 3440 4373 4816 6020 6880 8746 9632 12040 13760 17492 19264 21865 24080 30611 34984 43730 48160 61222 69968 87460 96320 122444 139936 153055 174920 188039 244888 279872 306110 349840 376078 489776 612220 699680 752156 940195 979552 1224440 1316273 1399360 1504312 1880390 1959104 2448880 2632546 3008624 3760780 4897760 5265092 6017248 6581365 7521560 9795520 10530184 12034496 13162730 15043120 21060368 26325460 30086240 42120736 52650920 60172480 84241472 105301840 210603680 421207360