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200076320 = 2551916547
BaseRepresentation
bin10111110110011…
…10110000100000
3111221110221010002
423323032300200
5402204420240
631504155132
74646422613
oct1373166040
9457427102
10200076320
11a2a35334
1257008aa8
13325b2c72
141c80217a
1512871d15
hexbecec20

200076320 has 48 divisors (see below), whose sum is σ = 475227648. Its totient is φ = 79599360.

The previous prime is 200076313. The next prime is 200076329. The reversal of 200076320 is 23670002.

200076320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 200076292 and 200076301.

It is not an unprimeable number, because it can be changed into a prime (200076329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27287 + ... + 33833.

It is an arithmetic number, because the mean of its divisors is an integer number (9900576).

Almost surely, 2200076320 is an apocalyptic number.

200076320 is a gapful number since it is divisible by the number (20) 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 200076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237613824).

200076320 is an abundant number, since it is smaller than the sum of its proper divisors (275151328).

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

200076320 is a wasteful number, since it uses less digits than its factorization.

200076320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 200076320 is about 14144.8336858374. The cubic root of 200076320 is about 584.8779251938.

The spelling of 200076320 in words is "two hundred million, seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3820 6112 6547 7640 13094 15280 26188 30560 32735 52376 65470 104752 130940 209504 261880 523760 1047520 1250477 2500954 5001908 6252385 10003816 12504770 20007632 25009540 40015264 50019080 100038160 200076320