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40056240 = 24357113211
BaseRepresentation
bin1001100011001…
…1010110110000
32210101001211110
42120303112300
540223244430
63550313320
7664321020
oct230632660
983331743
1040056240
1120679934
12114b8840
1383b6323
145469a80
1537b37b0
hex26335b0

40056240 has 160 divisors (see below), whose sum is σ = 143847936. Its totient is φ = 9031680.

The previous prime is 40056229. The next prime is 40056253. The reversal of 40056240 is 4265004.

It is a happy number.

It is a Cunningham number, because it is equal to 63292-1.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189735 + ... + 189945.

Almost surely, 240056240 is an apocalyptic number.

40056240 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 40056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71923968).

40056240 is an abundant number, since it is smaller than the sum of its proper divisors (103791696).

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

40056240 is a wasteful number, since it uses less digits than its factorization.

40056240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40056240 is about 6328.9999209986. Note that the first 4 decimals coincide. The cubic root of 40056240 is about 342.1553960207.

The spelling of 40056240 in words is "forty million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 113 120 140 168 210 211 226 240 280 336 339 420 422 452 560 565 633 678 791 840 844 904 1055 1130 1266 1356 1477 1582 1680 1688 1695 1808 2110 2260 2373 2532 2712 2954 3164 3165 3376 3390 3955 4220 4431 4520 4746 5064 5424 5908 6328 6330 6780 7385 7910 8440 8862 9040 9492 10128 11816 11865 12656 12660 13560 14770 15820 16880 17724 18984 22155 23632 23730 23843 25320 27120 29540 31640 35448 37968 44310 47460 47686 50640 59080 63280 70896 71529 88620 94920 95372 118160 119215 143058 166901 177240 189840 190744 238430 286116 333802 354480 357645 381488 476860 500703 572232 667604 715290 834505 953720 1001406 1144464 1335208 1430580 1669010 1907440 2002812 2503515 2670416 2861160 3338020 4005624 5007030 5722320 6676040 8011248 10014060 13352080 20028120 40056240