Search a number
-
+
87143148 = 22336712043
BaseRepresentation
bin1010011000110…
…11001011101100
320001222022221000
411030123023230
5134302040043
612351440300
72105463441
oct514331354
9201868830
1087143148
114520aa34
1225226090
13150917c1
14b8059c8
1579b52d3
hex531b2ec

87143148 has 48 divisors (see below), whose sum is σ = 229317760. Its totient is φ = 28611792.

The previous prime is 87143143. The next prime is 87143149. The reversal of 87143148 is 84134178.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87143143) 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, 1215 + ... + 13257.

Almost surely, 287143148 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 87143148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114658880).

87143148 is an abundant number, since it is smaller than the sum of its proper divisors (142174612).

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

87143148 is a wasteful number, since it uses less digits than its factorization.

87143148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12123 (or 12115 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 87143148 is about 9335.0494374695. The cubic root of 87143148 is about 443.3476541376.

The spelling of 87143148 in words is "eighty-seven million, one hundred forty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 7236 12043 24086 36129 48172 72258 108387 144516 216774 325161 433548 650322 806881 1300644 1613762 2420643 3227524 4841286 7261929 9682572 14523858 21785787 29047716 43571574 87143148