Search a number
-
+
80152000 = 265343233
BaseRepresentation
bin1001100011100…
…00010111000000
312120211010212121
410301300113000
5131004331000
611541534024
71662165205
oct461602700
9176733777
1080152000
1141275425
1222a14314
13137b4626
14a905cac
157083b1a
hex4c705c0

80152000 has 112 divisors (see below), whose sum is σ = 203984352. Its totient is φ = 31180800.

The previous prime is 80151997. The next prime is 80152001. The reversal of 80152000 is 25108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80152001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343884 + ... + 344116.

Almost surely, 280152000 is an apocalyptic number.

80152000 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 80152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101992176).

80152000 is an abundant number, since it is smaller than the sum of its proper divisors (123832352).

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

80152000 is a wasteful number, since it uses less digits than its factorization.

80152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 80152000 is about 8952.7649360407. The cubic root of 80152000 is about 431.1596604158.

Adding to 80152000 its reverse (25108), we get a palindrome (80177108).

The spelling of 80152000 in words is "eighty million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 160 172 200 215 233 250 320 344 400 430 466 500 688 800 860 932 1000 1075 1165 1376 1600 1720 1864 2000 2150 2330 2752 3440 3728 4000 4300 4660 5375 5825 6880 7456 8000 8600 9320 10019 10750 11650 13760 14912 17200 18640 20038 21500 23300 29125 34400 37280 40076 43000 46600 50095 58250 68800 74560 80152 86000 93200 100190 116500 160304 172000 186400 200380 233000 250475 320608 344000 372800 400760 466000 500950 641216 801520 932000 1001900 1252375 1603040 1864000 2003800 2504750 3206080 4007600 5009500 8015200 10019000 16030400 20038000 40076000 80152000