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40071440 = 2452571949
BaseRepresentation
bin1001100011011…
…1000100010000
32210101211200102
42120313010100
540224241230
63550511532
7664413233
oct230670420
983354612
1040071440
112068a2a2
12115055a8
1383c0216
14547141a
1537b8045
hex2637110

40071440 has 40 divisors (see below), whose sum is σ = 93576600. Its totient is φ = 15958016.

The previous prime is 40071439. The next prime is 40071461. The reversal of 40071440 is 4417004.

It can be written as a sum of positive squares in 4 ways, for example, as 21270544 + 18800896 = 4612^2 + 4336^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19586 + ... + 21534.

It is an arithmetic number, because the mean of its divisors is an integer number (2339415).

Almost surely, 240071440 is an apocalyptic number.

40071440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40071440 is an abundant number, since it is smaller than the sum of its proper divisors (53505160).

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

40071440 is a wasteful number, since it uses less digits than its factorization.

40071440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 40071440 is about 6330.2006287321. The cubic root of 40071440 is about 342.1986693810.

Adding to 40071440 its reverse (4417004), we get a palindrome (44488444).

The spelling of 40071440 in words is "forty million, seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 1028 1285 1949 2056 2570 3898 4112 5140 7796 9745 10280 15592 19490 20560 31184 38980 77960 155920 500893 1001786 2003572 2504465 4007144 5008930 8014288 10017860 20035720 40071440