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421101520 = 245731127191
BaseRepresentation
bin11001000110010…
…111111111010000
31002100101011200121
4121012113333100
51330300222040
6105441400024
713302206140
oct3106277720
91070334617
10421101520
111a6778894
12b9039014
136931c1c8
143dcd8920
1526e80c4a
hex19197fd0

421101520 has 160 divisors (see below), whose sum is σ = 1170210816. Its totient is φ = 137894400.

The previous prime is 421101517. The next prime is 421101523. The reversal of 421101520 is 25101124.

It is an interprime number because it is at equal distance from previous prime (421101517) and next prime (421101523).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 421101494 and 421101503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421101523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204625 + ... + 2204815.

Almost surely, 2421101520 is an apocalyptic number.

421101520 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 421101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585105408).

421101520 is an abundant number, since it is smaller than the sum of its proper divisors (749109296).

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

421101520 is a wasteful number, since it uses less digits than its factorization.

421101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 421101520 is about 20520.7582705903. The cubic root of 421101520 is about 749.5413610724.

Adding to 421101520 its reverse (25101124), we get a palindrome (446202644).

The spelling of 421101520 in words is "four hundred twenty-one million, one hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 127 140 155 191 217 248 254 280 310 382 434 496 508 560 620 635 764 868 889 955 1016 1085 1240 1270 1337 1528 1736 1778 1910 2032 2170 2480 2540 2674 3056 3472 3556 3820 3937 4340 4445 5080 5348 5921 6685 7112 7640 7874 8680 8890 10160 10696 11842 13370 14224 15280 15748 17360 17780 19685 21392 23684 24257 26740 27559 29605 31496 35560 39370 41447 47368 48514 53480 55118 59210 62992 71120 78740 82894 94736 97028 106960 110236 118420 121285 137795 157480 165788 169799 194056 207235 220472 236840 242570 275590 314960 331576 339598 388112 414470 440944 473680 485140 551180 663152 679196 751967 828940 848995 970280 1102360 1358392 1503934 1657880 1697990 1940560 2204720 2716784 3007868 3315760 3395980 3759835 5263769 6015736 6791960 7519670 10527538 12031472 13583920 15039340 21055076 26318845 30078680 42110152 52637690 60157360 84220304 105275380 210550760 421101520