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40727016 = 23331161281
BaseRepresentation
bin1001101101011…
…1000111101000
32211122010222000
42123113013220
540411231031
64012531000
71003113441
oct233270750
984563860
1040727016
1120a978a0
1211780a60
13858c735
1455a22c8
1538973e6
hex26d71e8

40727016 has 128 divisors (see below), whose sum is σ = 125884800. Its totient is φ = 12096000.

The previous prime is 40726979. The next prime is 40727041. The reversal of 40727016 is 61072704.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 144796 + ... + 145076.

It is an arithmetic number, because the mean of its divisors is an integer number (983475).

Almost surely, 240727016 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 40727016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62942400).

40727016 is an abundant number, since it is smaller than the sum of its proper divisors (85157784).

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

40727016 is a wasteful number, since it uses less digits than its factorization.

40727016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40727016 is about 6381.7721676663. The cubic root of 40727016 is about 344.0547280873.

The spelling of 40727016 in words is "forty million, seven hundred twenty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 61 66 72 88 99 108 122 132 183 198 216 244 264 281 297 366 396 488 549 562 594 671 732 792 843 1098 1124 1188 1342 1464 1647 1686 2013 2196 2248 2376 2529 2684 3091 3294 3372 4026 4392 5058 5368 6039 6182 6588 6744 7587 8052 9273 10116 12078 12364 13176 15174 16104 17141 18117 18546 20232 24156 24728 27819 30348 34282 36234 37092 48312 51423 55638 60696 68564 72468 74184 83457 102846 111276 137128 144936 154269 166914 188551 205692 222552 308538 333828 377102 411384 462807 565653 617076 667656 754204 925614 1131306 1234152 1508408 1696959 1851228 2262612 3393918 3702456 4525224 5090877 6787836 10181754 13575672 20363508 40727016