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80238000 = 2435343311
BaseRepresentation
bin1001100100001…
…01010110110000
312120222111211210
410302011112300
5131020104000
611543440120
71663004013
oct462052660
9176874753
1080238000
1141323aa7
1222a56040
131381480b
14a92937a
15709e350
hex4c855b0

80238000 has 160 divisors (see below), whose sum is σ = 265554432. Its totient is φ = 20832000.

The previous prime is 80237999. The next prime is 80238001. The reversal of 80238000 is 83208.

It is an interprime number because it is at equal distance from previous prime (80237999) and next prime (80238001).

It is not an unprimeable number, because it can be changed into a prime (80238001) by changing a digit.

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, 257845 + ... + 258155.

Almost surely, 280238000 is an apocalyptic number.

80238000 is a gapful number since it is divisible by the number (80) 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 80238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132777216).

80238000 is an abundant number, since it is smaller than the sum of its proper divisors (185316432).

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

80238000 is a wasteful number, since it uses less digits than its factorization.

80238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 80238000 is about 8957.5666338577. The cubic root of 80238000 is about 431.3138111834.

The spelling of 80238000 in words is "eighty million, two hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 311 344 375 400 430 500 516 600 622 645 688 750 860 933 1000 1032 1075 1200 1244 1290 1500 1555 1720 1866 2000 2064 2150 2488 2580 3000 3110 3225 3440 3732 4300 4665 4976 5160 5375 6000 6220 6450 7464 7775 8600 9330 10320 10750 12440 12900 13373 14928 15550 16125 17200 18660 21500 23325 24880 25800 26746 31100 32250 37320 38875 40119 43000 46650 51600 53492 62200 64500 66865 74640 77750 80238 86000 93300 106984 116625 124400 129000 133730 155500 160476 186600 200595 213968 233250 258000 267460 311000 320952 334325 373200 401190 466500 534920 622000 641904 668650 802380 933000 1002975 1069840 1337300 1604760 1671625 1866000 2005950 2674600 3209520 3343250 4011900 5014875 5349200 6686500 8023800 10029750 13373000 16047600 20059500 26746000 40119000 80238000