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421578240 = 2935173229
BaseRepresentation
bin11001001000001…
…100011000000000
31002101021101121220
4121020030120000
51330411000430
6105455515040
713306233036
oct3110143000
91071241556
10421578240
111a6a73a76
12b9228a80
13694581a5
143ddc0556
1527027110
hex1920c600

421578240 has 160 divisors (see below), whose sum is σ = 1427453280. Its totient is φ = 105775104.

The previous prime is 421578239. The next prime is 421578263. The reversal of 421578240 is 42875124.

It is a tau number, because it is divible by the number of its divisors (160).

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, 128946 + ... + 132174.

It is an arithmetic number, because the mean of its divisors is an integer number (8921583).

Almost surely, 2421578240 is an apocalyptic number.

421578240 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 421578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713726640).

421578240 is an abundant number, since it is smaller than the sum of its proper divisors (1005875040).

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

421578240 is a wasteful number, since it uses less digits than its factorization.

421578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 421578240 is about 20532.3705401982. The cubic root of 421578240 is about 749.8241009715.

The spelling of 421578240 in words is "four hundred twenty-one million, five hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3229 3264 3840 4080 4352 5440 6458 6528 7680 8160 8704 9687 10880 12916 13056 16145 16320 19374 21760 25832 26112 32290 32640 38748 43520 48435 51664 54893 64580 65280 77496 96870 103328 109786 129160 130560 154992 164679 193740 206656 219572 258320 274465 309984 329358 387480 413312 439144 516640 548930 619968 658716 774960 823395 826624 878288 1033280 1097860 1239936 1317432 1549920 1646790 1653248 1756576 2066560 2195720 2479872 2634864 3099840 3293580 3513152 4133120 4391440 4959744 5269728 6199680 6587160 7026304 8266240 8782880 10539456 12399360 13174320 14052608 17565760 21078912 24798720 26348640 28105216 35131520 42157824 52697280 70263040 84315648 105394560 140526080 210789120 421578240