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80138700 = 22335267443
BaseRepresentation
bin1001100011011…
…01000111001100
312120210110122000
410301231013030
5131003414300
611541352300
71662111345
oct461550714
9176713560
1080138700
1141266434
1222a08690
13137ab565
14a9010cc
15707ec00
hex4c6d1cc

80138700 has 144 divisors (see below), whose sum is σ = 262066560. Its totient is φ = 21003840.

The previous prime is 80138699. The next prime is 80138701. The reversal of 80138700 is 783108.

It is an interprime number because it is at equal distance from previous prime (80138699) and next prime (80138701).

It is a super-2 number, since 2×801387002 = 12844422475380000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (80138701) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 180679 + ... + 181121.

Almost surely, 280138700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80138700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131033280).

80138700 is an abundant number, since it is smaller than the sum of its proper divisors (181927860).

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

80138700 is a wasteful number, since it uses less digits than its factorization.

80138700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 80138700 is about 8952.0221179351. The cubic root of 80138700 is about 431.1358109768.

The spelling of 80138700 in words is "eighty million, one hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 67 75 90 100 108 134 135 150 180 201 225 268 270 300 335 402 443 450 540 603 670 675 804 886 900 1005 1206 1329 1340 1350 1675 1772 1809 2010 2215 2412 2658 2700 3015 3350 3618 3987 4020 4430 5025 5316 6030 6645 6700 7236 7974 8860 9045 10050 11075 11961 12060 13290 15075 15948 18090 19935 20100 22150 23922 26580 29681 30150 33225 36180 39870 44300 45225 47844 59362 59805 60300 66450 79740 89043 90450 99675 118724 119610 132900 148405 178086 180900 199350 239220 267129 296810 299025 356172 398700 445215 534258 593620 598050 742025 801387 890430 1068516 1196100 1335645 1484050 1602774 1780860 2226075 2671290 2968100 3205548 4006935 4452150 5342580 6678225 8013870 8904300 13356450 16027740 20034675 26712900 40069350 80138700