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870704640 = 29345131719
BaseRepresentation
bin110011111001011…
…110011000000000
32020200101101020000
4303321132120000
53240400022030
6222222120000
730401603331
oct6371363000
92220341200
10870704640
11407543313
12203720000
1310b50a360
14838d2288
1551691860
hex33e5e600

870704640 has 800 divisors, whose sum is σ = 3743197920. Its totient is φ = 191102976.

The previous prime is 870704591. The next prime is 870704641. The reversal of 870704640 is 46407078.

It is a happy number.

870704640 is a `hidden beast` number, since 8 + 7 + 0 + 7 + 0 + 4 + 640 = 666.

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 = 870704595 and 870704604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870704641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45826551 + ... + 45826569.

Almost surely, 2870704640 is an apocalyptic number.

870704640 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 870704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871598960).

870704640 is an abundant number, since it is smaller than the sum of its proper divisors (2872493280).

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

870704640 is a wasteful number, since it uses less digits than its factorization.

870704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 870704640 is about 29507.7047565547. The cubic root of 870704640 is about 954.8979323133.

The spelling of 870704640 in words is "eight hundred seventy million, seven hundred four thousand, six hundred forty".