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870421200 = 2435211234761
BaseRepresentation
bin110011111000011…
…001001011010000
32020122211222102020
4303320121023100
53240311434300
6222212051440
730366313065
oct6370311320
92218758366
10870421200
1140736a370
12203603b80
1310b43b33c
148385ac6c
15516378a0
hex33e192d0

870421200 has 480 divisors, whose sum is σ = 3294646272. Its totient is φ = 194304000.

The previous prime is 870421183. The next prime is 870421207. The reversal of 870421200 is 2124078.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870421207) 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, 14269170 + ... + 14269230.

Almost surely, 2870421200 is an apocalyptic number.

870421200 is a gapful number since it is divisible by the number (80) 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 870421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647323136).

870421200 is an abundant number, since it is smaller than the sum of its proper divisors (2424225072).

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

870421200 is a wasteful number, since it uses less digits than its factorization.

870421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 870421200 is about 29502.9015522202. The cubic root of 870421200 is about 954.7943052693.

Adding to 870421200 its reverse (2124078), we get a palindrome (872545278).

The spelling of 870421200 in words is "eight hundred seventy million, four hundred twenty-one thousand, two hundred".