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930666640 = 245109110663
BaseRepresentation
bin110111011110001…
…101100010010000
32101212012202121211
4313132031202100
53401222313030
6232203225504
732030351551
oct6736154220
92355182554
10930666640
11438378692
1221b818294
1311aa72c27
148b860328
1556a8812a
hex3778d890

930666640 has 40 divisors (see below), whose sum is σ = 2165986368. Its totient is φ = 371890560.

The previous prime is 930666629. The next prime is 930666643. The reversal of 930666640 is 46666039.

930666640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×9306666402 = 1732280789617779200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 930666593 and 930666602.

It is not an unprimeable number, because it can be changed into a prime (930666643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81949 + ... + 92611.

Almost surely, 2930666640 is an apocalyptic number.

It is an amenable number.

930666640 is an abundant number, since it is smaller than the sum of its proper divisors (1235319728).

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

930666640 is a wasteful number, since it uses less digits than its factorization.

930666640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11767 (or 11761 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 930666640 is about 30506.8293993329. The cubic root of 930666640 is about 976.3331803895. Note that the first 3 decimals are identical.

The spelling of 930666640 in words is "nine hundred thirty million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1091 2182 4364 5455 8728 10663 10910 17456 21326 21820 42652 43640 53315 85304 87280 106630 170608 213260 426520 853040 11633333 23266666 46533332 58166665 93066664 116333330 186133328 232666660 465333320 930666640