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830536500 = 223533153337
BaseRepresentation
bin110001100000001…
…111101100110100
32010212210121220010
4301200033230310
53200104132000
6214225140220
726403305133
oct6140175464
92125717803
10830536500
113968a8402
121b218a670
131030b5121
147c43791a
154cda9d50
hex3180fb34

830536500 has 192 divisors, whose sum is σ = 2551191552. Its totient is φ = 209664000.

The previous prime is 830536471. The next prime is 830536501. The reversal of 830536500 is 5635038.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830536501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2464332 + ... + 2464668.

It is an arithmetic number, because the mean of its divisors is an integer number (13287456).

Almost surely, 2830536500 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 830536500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275595776).

830536500 is an abundant number, since it is smaller than the sum of its proper divisors (1720655052).

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

830536500 is a wasteful number, since it uses less digits than its factorization.

830536500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 830536500 is about 28819.0301710519. The cubic root of 830536500 is about 939.9820805396.

The spelling of 830536500 in words is "eight hundred thirty million, five hundred thirty-six thousand, five hundred".