Search a number
-
+
152127000 = 23325316903
BaseRepresentation
bin10010001000101…
…00011000011000
3101121020212000100
421010110120120
5302421031000
623032335400
73525025644
oct1104243030
9347225010
10152127000
11789652a3
1242b44560
132569509c
14162bdc24
15d54ea00
hex9114618

152127000 has 96 divisors (see below), whose sum is σ = 514219680. Its totient is φ = 40564800.

The previous prime is 152126987. The next prime is 152127007. The reversal of 152127000 is 721251.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152127007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549 + ... + 17451.

It is an arithmetic number, because the mean of its divisors is an integer number (5356455).

Almost surely, 2152127000 is an apocalyptic number.

152127000 is a gapful number since it is divisible by the number (10) 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 152127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257109840).

152127000 is an abundant number, since it is smaller than the sum of its proper divisors (362092680).

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

152127000 is a wasteful number, since it uses less digits than its factorization.

152127000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16930 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 152127000 is about 12333.9774606572. The cubic root of 152127000 is about 533.8289230208.

Adding to 152127000 its reverse (721251), we get a palindrome (152848251).

The spelling of 152127000 in words is "one hundred fifty-two million, one hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 16903 33806 50709 67612 84515 101418 135224 152127 169030 202836 253545 304254 338060 405672 422575 507090 608508 676120 760635 845150 1014180 1217016 1267725 1521270 1690300 2028360 2112875 2535450 3042540 3380600 3803175 4225750 5070900 6085080 6338625 7606350 8451500 10141800 12677250 15212700 16903000 19015875 25354500 30425400 38031750 50709000 76063500 152127000