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40159780 = 22517294073
BaseRepresentation
bin1001100100110…
…0101000100100
32210120022212021
42121030220210
540240103110
63552432524
7665231623
oct231145044
983508767
1040159780
112073a701
1211548744
1384214ab
1454956ba
1537d42da
hex264ca24

40159780 has 48 divisors (see below), whose sum is σ = 92398320. Its totient is φ = 14594048.

The previous prime is 40159747. The next prime is 40159781. The reversal of 40159780 is 8795104.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 746496 + 39413284 = 864^2 + 6278^2 .

It is a super-2 number, since 2×401597802 = 3225615859296800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (40159781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7824 + ... + 11896.

It is an arithmetic number, because the mean of its divisors is an integer number (1924965).

Almost surely, 240159780 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 40159780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46199160).

40159780 is an abundant number, since it is smaller than the sum of its proper divisors (52238540).

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

40159780 is a wasteful number, since it uses less digits than its factorization.

40159780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 40159780 is about 6337.1744492321. The cubic root of 40159780 is about 342.4499509513.

The spelling of 40159780 in words is "forty million, one hundred fifty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4073 4930 8146 9860 16292 20365 40730 69241 81460 118117 138482 236234 276964 346205 472468 590585 692410 1181170 1384820 2007989 2362340 4015978 8031956 10039945 20079890 40159780