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40070968 = 2372353587
BaseRepresentation
bin1001100011011…
…0111100111000
32210101211000221
42120312330320
540224232333
63550505424
7664411660
oct230667470
983354027
1040070968
1120689a03
1211505274
1383bcc42
1454711a0
1537b7d2d
hex2636f38

40070968 has 64 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 16089216.

The previous prime is 40070959. The next prime is 40070999. The reversal of 40070968 is 86907004.

It is a congruent number.

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, 67971 + ... + 68557.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 240070968 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 40070968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

40070968 is an abundant number, since it is smaller than the sum of its proper divisors (51374792).

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

40070968 is a wasteful number, since it uses less digits than its factorization.

40070968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 40070968 is about 6330.1633470235. The cubic root of 40070968 is about 342.1973257939.

The spelling of 40070968 in words is "forty million, seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 53 56 92 106 161 184 212 322 371 424 587 644 742 1174 1219 1288 1484 2348 2438 2968 4109 4696 4876 8218 8533 9752 13501 16436 17066 27002 31111 32872 34132 54004 62222 68264 94507 108008 124444 189014 217777 248888 378028 435554 715553 756056 871108 1431106 1742216 2862212 5008871 5724424 10017742 20035484 40070968