Search a number
-
+
152211060 = 223257971061
BaseRepresentation
bin10010001001010…
…00111001110100
3101121102010022200
421010220321310
5302431223220
623034224500
73525526011
oct1104507164
9347363280
10152211060
1178a12471
1242b85130
13256c4421
1416302708
15d569890
hex9128e74

152211060 has 72 divisors (see below), whose sum is σ = 462721896. Its totient is φ = 40500480.

The previous prime is 152211049. The next prime is 152211061. The reversal of 152211060 is 60112251.

It can be written as a sum of positive squares in 4 ways, for example, as 22524516 + 129686544 = 4746^2 + 11388^2 .

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 (152211061) 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, 142930 + ... + 143990.

It is an arithmetic number, because the mean of its divisors is an integer number (6426693).

Almost surely, 2152211060 is an apocalyptic number.

152211060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152211060 is an abundant number, since it is smaller than the sum of its proper divisors (310510836).

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

152211060 is a wasteful number, since it uses less digits than its factorization.

152211060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 152211060 is about 12337.3846499167. The cubic root of 152211060 is about 533.9272299104.

The spelling of 152211060 in words is "one hundred fifty-two million, two hundred eleven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 797 1061 1594 2122 2391 3183 3188 3985 4244 4782 5305 6366 7173 7970 9549 9564 10610 11955 12732 14346 15915 15940 19098 21220 23910 28692 31830 35865 38196 47745 47820 63660 71730 95490 143460 190980 845617 1691234 2536851 3382468 4228085 5073702 7610553 8456170 10147404 12684255 15221106 16912340 25368510 30442212 38052765 50737020 76105530 152211060