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421571640 = 23357895639
BaseRepresentation
bin11001001000001…
…010110000111000
31002101021001120110
4121020022300320
51330410243030
6105455424320
713306204560
oct3110126070
91071231513
10421571640
111a6a6a016
12b92250a0
1369455199
143ddbbda0
15270251b0
hex1920ac38

421571640 has 128 divisors (see below), whose sum is σ = 1461888000. Its totient is φ = 95259648.

The previous prime is 421571629. The next prime is 421571651. The reversal of 421571640 is 46175124.

It is an interprime number because it is at equal distance from previous prime (421571629) and next prime (421571651).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 421571598 and 421571607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71941 + ... + 77579.

It is an arithmetic number, because the mean of its divisors is an integer number (11421000).

Almost surely, 2421571640 is an apocalyptic number.

421571640 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 421571640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730944000).

421571640 is an abundant number, since it is smaller than the sum of its proper divisors (1040316360).

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

421571640 is a wasteful number, since it uses less digits than its factorization.

421571640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 421571640 is about 20532.2098177473. The cubic root of 421571640 is about 749.8201880048.

It can be divided in two parts, 4215 and 71640, that added together give a triangular number (75855 = T389).

The spelling of 421571640 in words is "four hundred twenty-one million, five hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 89 105 120 140 168 178 210 267 280 356 420 445 534 623 712 840 890 1068 1246 1335 1780 1869 2136 2492 2670 3115 3560 3738 4984 5340 5639 6230 7476 9345 10680 11278 12460 14952 16917 18690 22556 24920 28195 33834 37380 39473 45112 56390 67668 74760 78946 84585 112780 118419 135336 157892 169170 197365 225560 236838 315784 338340 394730 473676 501871 592095 676680 789460 947352 1003742 1184190 1505613 1578920 2007484 2368380 2509355 3011226 3513097 4014968 4736760 5018710 6022452 7026194 7528065 10037420 10539291 12044904 14052388 15056130 17565485 20074840 21078582 28104776 30112260 35130970 42157164 52696455 60224520 70261940 84314328 105392910 140523880 210785820 421571640