Search a number
-
+
152711300 = 22527269811
BaseRepresentation
bin10010001101000…
…11000010000100
3101122100112112002
421012203002010
5303043230200
623053044432
73533011310
oct1106430204
9348315462
10152711300
1179224295
1243186718
132583b021
14163d2b40
15d617bd5
hex91a3084

152711300 has 72 divisors (see below), whose sum is σ = 380600640. Its totient is φ = 52099200.

The previous prime is 152711267. The next prime is 152711327. The reversal of 152711300 is 3117251.

It is a super-2 number, since 2×1527113002 = 46641482295380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187895 + ... + 188705.

It is an arithmetic number, because the mean of its divisors is an integer number (5286120).

Almost surely, 2152711300 is an apocalyptic number.

152711300 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 152711300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190300320).

152711300 is an abundant number, since it is smaller than the sum of its proper divisors (227889340).

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

152711300 is a wasteful number, since it uses less digits than its factorization.

152711300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 152711300 is about 12357.6413607128. The cubic root of 152711300 is about 534.5115056578.

Adding to 152711300 its reverse (3117251), we get a palindrome (155828551).

The spelling of 152711300 in words is "one hundred fifty-two million, seven hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 269 350 538 700 811 1076 1345 1622 1883 2690 3244 3766 4055 5380 5677 6725 7532 8110 9415 11354 13450 16220 18830 20275 22708 26900 28385 37660 40550 47075 56770 81100 94150 113540 141925 188300 218159 283850 436318 567700 872636 1090795 1527113 2181590 3054226 4363180 5453975 6108452 7635565 10907950 15271130 21815900 30542260 38177825 76355650 152711300