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40740 = 2235797
BaseRepresentation
bin1001111100100100
32001212220
421330210
52300430
6512340
7226530
oct117444
961786
1040740
1128677
121b6b0
131570b
1410bc0
15c110
hex9f24

40740 has 48 divisors (see below), whose sum is σ = 131712. Its totient is φ = 9216.

The previous prime is 40739. The next prime is 40751. The reversal of 40740 is 4704.

40740 is digitally balanced in base 2, base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

40740 is a modest number, since divided by 740 gives 40 as remainder.

40740 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (2744).

240740 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 40740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65856).

40740 is an abundant number, since it is smaller than the sum of its proper divisors (90972).

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

40740 is a wasteful number, since it uses less digits than its factorization.

40740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 40740 is about 201.8415219919. The cubic root of 40740 is about 34.4091286392.

Adding to 40740 its sum of digits (15), we get a triangular number (40755 = T285).

It can be divided in two parts, 40 and 740, that added together give a triangular number (780 = T39).

The spelling of 40740 in words is "forty thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 388 420 485 582 679 970 1164 1358 1455 1940 2037 2716 2910 3395 4074 5820 6790 8148 10185 13580 20370 40740