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40980420 = 223251383211
BaseRepresentation
bin1001110001010…
…0111111000100
32212010000120100
42130110333010
540442333140
64022204100
71005220305
oct234247704
985100510
1040980420
1121150218
1211883630
13864ab90
14562a7ac
1538e7530
hex2714fc4

40980420 has 144 divisors (see below), whose sum is σ = 136124352. Its totient is φ = 9918720.

The previous prime is 40980389. The next prime is 40980427. The reversal of 40980420 is 2408904.

40980420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40980427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 194115 + ... + 194325.

It is an arithmetic number, because the mean of its divisors is an integer number (945308).

Almost surely, 240980420 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 40980420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68062176).

40980420 is an abundant number, since it is smaller than the sum of its proper divisors (95143932).

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

40980420 is a wasteful number, since it uses less digits than its factorization.

40980420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40980420 is about 6401.5951137197. The cubic root of 40980420 is about 344.7668241650.

The spelling of 40980420 in words is "forty million, nine hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 83 90 117 130 156 166 180 195 211 234 249 260 332 390 415 422 468 498 585 633 747 780 830 844 996 1055 1079 1170 1245 1266 1494 1660 1899 2110 2158 2340 2490 2532 2743 2988 3165 3237 3735 3798 4220 4316 4980 5395 5486 6330 6474 7470 7596 8229 9495 9711 10790 10972 12660 12948 13715 14940 16185 16458 17513 18990 19422 21580 24687 27430 32370 32916 35026 37980 38844 41145 48555 49374 52539 54860 64740 70052 82290 87565 97110 98748 105078 123435 157617 164580 175130 194220 210156 227669 246870 262695 315234 350260 455338 493740 525390 630468 683007 788085 910676 1050780 1138345 1366014 1576170 2049021 2276690 2732028 3152340 3415035 4098042 4553380 6830070 8196084 10245105 13660140 20490210 40980420