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40770000 = 243354151
BaseRepresentation
bin1001101110000…
…1100111010000
32211201022221000
42123201213100
540414120000
64013502000
71003352655
oct233414720
984638830
1040770000
1121017117
12117a1900
1385a617b
1455b3c2c
1538a5000
hex26e19d0

40770000 has 200 divisors, whose sum is σ = 147202880. Its totient is φ = 10800000.

The previous prime is 40769987. The next prime is 40770011. The reversal of 40770000 is 7704.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269925 + ... + 270075.

Almost surely, 240770000 is an apocalyptic number.

40770000 is a gapful number since it is divisible by the number (40) 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 40770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73601440).

40770000 is an abundant number, since it is smaller than the sum of its proper divisors (106432880).

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

40770000 is a wasteful number, since it uses less digits than its factorization.

40770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 40770000 is about 6385.1389961378. The cubic root of 40770000 is about 344.1757259746.

Adding to 40770000 its reverse (7704), we get a palindrome (40777704).

It can be divided in two parts, 407 and 70000, that added together give a palindrome (70407).

The spelling of 40770000 in words is "forty million, seven hundred seventy thousand".