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40707072 = 210327631
BaseRepresentation
bin1001101101001…
…0010000000000
32211121010121100
42123102100000
540410111242
64012254400
71003001340
oct233222000
984533540
1040707072
1120a8390a
1211771400
138583633
145598d20
15389154c
hex26d2400

40707072 has 132 divisors (see below), whose sum is σ = 134545216. Its totient is φ = 11612160.

The previous prime is 40707059. The next prime is 40707077. The reversal of 40707072 is 27070704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40707077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64197 + ... + 64827.

Almost surely, 240707072 is an apocalyptic number.

40707072 is a gapful number since it is divisible by the number (42) 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 40707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67272608).

40707072 is an abundant number, since it is smaller than the sum of its proper divisors (93838144).

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

40707072 is a wasteful number, since it uses less digits than its factorization.

40707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 40707072 is about 6380.2094009523. The cubic root of 40707072 is about 343.9985577729.

Adding to 40707072 its reverse (27070704), we get a palindrome (67777776).

The spelling of 40707072 in words is "forty million, seven hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 631 672 768 896 1008 1024 1152 1262 1344 1536 1792 1893 2016 2304 2524 2688 3072 3584 3786 4032 4417 4608 5048 5376 5679 7168 7572 8064 8834 9216 10096 10752 11358 13251 15144 16128 17668 20192 21504 22716 26502 30288 32256 35336 39753 40384 45432 53004 60576 64512 70672 79506 80768 90864 106008 121152 141344 159012 161536 181728 212016 242304 282688 318024 323072 363456 424032 484608 565376 636048 646144 726912 848064 969216 1130752 1272096 1453824 1696128 1938432 2261504 2544192 2907648 3392256 4523008 5088384 5815296 6784512 10176768 13569024 20353536 40707072