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40630800 = 2435272691
BaseRepresentation
bin1001101011111…
…1101000010000
32211110020222110
42122333220100
540400141200
64010505320
71002233100
oct232775020
984406873
1040630800
1120a31581
1211735240
1385579c2
145579200
153878b50
hex26bfa10

40630800 has 180 divisors, whose sum is σ = 151622736. Its totient is φ = 9273600.

The previous prime is 40630787. The next prime is 40630813. The reversal of 40630800 is 803604.

40630800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40630787) and next prime (40630813).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58455 + ... + 59145.

Almost surely, 240630800 is an apocalyptic number.

40630800 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 40630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75811368).

40630800 is an abundant number, since it is smaller than the sum of its proper divisors (110991936).

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

40630800 is a wasteful number, since it uses less digits than its factorization.

40630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40630800 is about 6374.2293651860. The cubic root of 40630800 is about 343.7835757837.

The spelling of 40630800 in words is "forty million, six hundred thirty thousand, eight hundred".