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93940000 = 255471161
BaseRepresentation
bin1011001100101…
…10100100100000
320112202122110021
411212112210200
5143022040000
613153243224
72220322360
oct546264440
9215678407
1093940000
1149032570
1227563514
13166013cb
14c6949a0
1583a911a
hex5996920

93940000 has 240 divisors, whose sum is σ = 292856256. Its totient is φ = 28800000.

The previous prime is 93939991. The next prime is 93940001. The reversal of 93940000 is 4939.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (93940001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1539970 + ... + 1540030.

Almost surely, 293940000 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 93940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146428128).

93940000 is an abundant number, since it is smaller than the sum of its proper divisors (198916256).

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

93940000 is a wasteful number, since it uses less digits than its factorization.

93940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 93940000 is about 9692.2649571707. The cubic root of 93940000 is about 454.5868325968.

Adding to 93940000 its reverse (4939), we get a palindrome (93944939).

The spelling of 93940000 in words is "ninety-three million, nine hundred forty thousand".