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200933680 = 2453767883
BaseRepresentation
bin10111111101000…
…00000100110000
3112000002111012011
423332200010300
5402414334210
631534412304
74656623323
oct1376400460
9460074164
10200933680
11a34704a2
1257361094
133282328c
141c9867ba
1512990d8a
hexbfa0130

200933680 has 40 divisors (see below), whose sum is σ = 479804112. Its totient is φ = 78200064.

The previous prime is 200933669. The next prime is 200933687. The reversal of 200933680 is 86339002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (200933687) 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, 30982 + ... + 36901.

Almost surely, 2200933680 is an apocalyptic number.

200933680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200933680 is an abundant number, since it is smaller than the sum of its proper divisors (278870432).

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

200933680 is a wasteful number, since it uses less digits than its factorization.

200933680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67933 (or 67927 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 200933680 is about 14175.1077597315. The cubic root of 200933680 is about 585.7121674663.

The spelling of 200933680 in words is "two hundred million, nine hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 67883 135766 271532 339415 543064 678830 1086128 1357660 2511671 2715320 5023342 5430640 10046684 12558355 20093368 25116710 40186736 50233420 100466840 200933680