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40661136 = 2433611543
BaseRepresentation
bin1001101100011…
…1000010010000
32211111210121000
42123013002100
540402124021
64011302000
71002420405
oct233070220
984453530
1040661136
1120a5234a
121174a900
138568759
1455862ac
153882b26
hex26c7090

40661136 has 80 divisors (see below), whose sum is σ = 118702720. Its totient is φ = 13322880.

The previous prime is 40661099. The next prime is 40661141. The reversal of 40661136 is 63116604.

40661136 is a `hidden beast` number, since 40 + 6 + 611 + 3 + 6 = 666.

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 15 ways as a sum of consecutive naturals, for example, 25581 + ... + 27123.

It is an arithmetic number, because the mean of its divisors is an integer number (1483784).

Almost surely, 240661136 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 40661136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59351360).

40661136 is an abundant number, since it is smaller than the sum of its proper divisors (78041584).

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

40661136 is a wasteful number, since it uses less digits than its factorization.

40661136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1609 counting only the distinct ones).

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

The square root of 40661136 is about 6376.6085029583. The cubic root of 40661136 is about 343.8691137181.

The spelling of 40661136 in words is "forty million, six hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1543 1647 2196 2928 3086 3294 4392 4629 6172 6588 8784 9258 12344 13176 13887 18516 24688 26352 27774 37032 41661 55548 74064 83322 94123 111096 166644 188246 222192 282369 333288 376492 564738 666576 752984 847107 1129476 1505968 1694214 2258952 2541321 3388428 4517904 5082642 6776856 10165284 13553712 20330568 40661136