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421029360 = 243351910259
BaseRepresentation
bin11001000110000…
…110010111110000
31002100020111201000
4121012012113300
51330240414420
6105440042000
713301455563
oct3106062760
91070214630
10421029360
111a6729654
12b9003300
13692c53cb
143dcba4da
1526e69690
hex191865f0

421029360 has 160 divisors (see below), whose sum is σ = 1526688000. Its totient is φ = 106354944.

The previous prime is 421029347. The next prime is 421029377. The reversal of 421029360 is 63920124.

It is a Cunningham number, because it is equal to 205192-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35911 + ... + 46169.

It is an arithmetic number, because the mean of its divisors is an integer number (9541800).

Almost surely, 2421029360 is an apocalyptic number.

421029360 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 421029360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344000).

421029360 is an abundant number, since it is smaller than the sum of its proper divisors (1105658640).

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

421029360 is a wasteful number, since it uses less digits than its factorization.

421029360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 421029360 is about 20518.9999756323. Note that the first 4 decimals coincide. The cubic root of 421029360 is about 749.4985447983.

Adding to 421029360 its reverse (63920124), we get a palindrome (484949484).

The spelling of 421029360 in words is "four hundred twenty-one million, twenty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10259 10260 13680 20518 20520 30777 41036 41040 51295 61554 82072 92331 102590 123108 153885 164144 184662 194921 205180 246216 276993 307770 369324 389842 410360 461655 492432 553986 584763 615540 738648 779684 820720 923310 974605 1107972 1169526 1231080 1384965 1477296 1559368 1754289 1846620 1949210 2215944 2339052 2462160 2769930 2923815 3118736 3508578 3693240 3898420 4431888 4678104 5262867 5539860 5847630 7017156 7386480 7796840 8771445 9356208 10525734 11079720 11695260 14034312 15593680 17542890 21051468 22159440 23390520 26314335 28068624 35085780 42102936 46781040 52628670 70171560 84205872 105257340 140343120 210514680 421029360