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870552540 = 223251113311091
BaseRepresentation
bin110011111000111…
…001001111011100
32020200002122120200
4303320321033130
53240330140130
6222214543500
730400401024
oct6370711734
92220078520
10870552540
1140744a010
12203667b90
1310b486060
1483892a84
1551661760
hex33e393dc

870552540 has 288 divisors, whose sum is σ = 3205343232. Its totient is φ = 188352000.

The previous prime is 870552503. The next prime is 870552547. The reversal of 870552540 is 45255078.

It is a happy number.

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 a junction number, because it is equal to n+sod(n) for n = 870552495 and 870552504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870552547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 797395 + ... + 798485.

It is an arithmetic number, because the mean of its divisors is an integer number (11129664).

Almost surely, 2870552540 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 870552540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602671616).

870552540 is an abundant number, since it is smaller than the sum of its proper divisors (2334790692).

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

870552540 is a wasteful number, since it uses less digits than its factorization.

870552540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 870552540 is about 29505.1273510216. The cubic root of 870552540 is about 954.8423266093.

The spelling of 870552540 in words is "eight hundred seventy million, five hundred fifty-two thousand, five hundred forty".