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40406040 = 233554157
BaseRepresentation
bin1001101000100…
…0110000011000
32211000211200000
42122020300120
540320443130
64002013000
71000305603
oct232106030
984024600
1040406040
1120898724
1211647160
1384a95cc
14551b33a
153832260
hex2688c18

40406040 has 96 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 10772352.

The previous prime is 40405993. The next prime is 40406081. The reversal of 40406040 is 4060404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7642 + ... + 11798.

Almost surely, 240406040 is an apocalyptic number.

40406040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

40406040 is an abundant number, since it is smaller than the sum of its proper divisors (95810040).

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

40406040 is a wasteful number, since it uses less digits than its factorization.

40406040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40406040 is about 6356.5745492364. The cubic root of 40406040 is about 343.1484934196.

Adding to 40406040 its reverse (4060404), we get a palindrome (44466444).

The spelling of 40406040 in words is "forty million, four hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4157 4860 8314 9720 12471 16628 20785 24942 33256 37413 41570 49884 62355 74826 83140 99768 112239 124710 149652 166280 187065 224478 249420 299304 336717 374130 448956 498840 561195 673434 748260 897912 1010151 1122390 1346868 1496520 1683585 2020302 2244780 2693736 3367170 4040604 4489560 5050755 6734340 8081208 10101510 13468680 20203020 40406040