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420937530 = 235133137941
BaseRepresentation
bin11001000101101…
…111111100111010
31002100001211201220
4121011233330322
51330230000110
6105434052510
713300624056
oct3105577472
91070054656
10420937530
111a6676662
12b8b7a136
1369292680
143dc94c66
1526e4c370
hex1916ff3a

420937530 has 128 divisors (see below), whose sum is σ = 1154635776. Its totient is φ = 97459200.

The previous prime is 420937511. The next prime is 420937541. The reversal of 420937530 is 35739024.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420937491 and 420937500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446860 + ... + 447800.

It is an arithmetic number, because the mean of its divisors is an integer number (9020592).

Almost surely, 2420937530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420937530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577317888).

420937530 is an abundant number, since it is smaller than the sum of its proper divisors (733698246).

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

420937530 is a wasteful number, since it uses less digits than its factorization.

420937530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 420937530 is about 20516.7621714539. The cubic root of 420937530 is about 749.4440502172. Note that the first 3 decimals are identical.

The spelling of 420937530 in words is "four hundred twenty million, nine hundred thirty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 37 39 62 65 74 78 93 111 130 155 185 186 195 222 310 370 390 403 465 481 555 806 930 941 962 1110 1147 1209 1443 1882 2015 2294 2405 2418 2823 2886 3441 4030 4705 4810 5646 5735 6045 6882 7215 9410 11470 12090 12233 14115 14430 14911 17205 24466 28230 29171 29822 34410 34817 36699 44733 58342 61165 69634 73398 74555 87513 89466 104451 122330 145855 149110 174085 175026 183495 208902 223665 291710 348170 366990 379223 437565 447330 452621 522255 758446 875130 905242 1044510 1079327 1137669 1357863 1896115 2158654 2263105 2275338 2715726 3237981 3792230 4526210 5396635 5688345 6475962 6789315 10793270 11376690 13578630 14031251 16189905 28062502 32379810 42093753 70156255 84187506 140312510 210468765 420937530