Search a number
-
+
40602960 = 2432556393
BaseRepresentation
bin1001101011100…
…0110101010000
32211101211210100
42122320311100
540343243320
64010132400
71002055656
oct232706520
984354710
1040602960
1120a12672
1211721100
138548128
14556cdd6
153870790
hex26b8d50

40602960 has 60 divisors (see below), whose sum is σ = 136360692. Its totient is φ = 10827264.

The previous prime is 40602911. The next prime is 40602973. The reversal of 40602960 is 6920604.

It can be written as a sum of positive squares in 2 ways, for example, as 14470416 + 26132544 = 3804^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27477 + ... + 28916.

Almost surely, 240602960 is an apocalyptic number.

40602960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40602960 is an abundant number, since it is smaller than the sum of its proper divisors (95757732).

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

40602960 is a wasteful number, since it uses less digits than its factorization.

40602960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56412 (or 56403 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40602960 is about 6372.0451975798. The cubic root of 40602960 is about 343.7050383067.

The spelling of 40602960 in words is "forty million, six hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 56393 112786 169179 225572 281965 338358 451144 507537 563930 676716 845895 902288 1015074 1127860 1353432 1691790 2030148 2255720 2537685 2706864 3383580 4060296 4511440 5075370 6767160 8120592 10150740 13534320 20301480 40602960