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10673940 = 2235414339
BaseRepresentation
bin101000101101…
…111100010100
3202002021220010
4220231330110
510213031230
61020440220
7156504234
oct50557424
922067803
1010673940
116030542
1236a9070
132299554
1415bbcc4
15e0c9b0
hexa2df14

10673940 has 48 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 2776320.

The previous prime is 10673939. The next prime is 10673941. The reversal of 10673940 is 4937601.

It is a happy number.

10673940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10673939) and next prime (10673941).

It is a super-2 number, since 2×106739402 = 227865990247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10673898 and 10673907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10673941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (637980).

Almost surely, 210673940 is an apocalyptic number.

10673940 is a gapful number since it is divisible by the number (10) 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 10673940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

10673940 is an abundant number, since it is smaller than the sum of its proper divisors (19949100).

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

10673940 is a wasteful number, since it uses less digits than its factorization.

10673940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 10673940 is about 3267.0996311714. The cubic root of 10673940 is about 220.1785052616.

The spelling of 10673940 in words is "ten million, six hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4339 8678 13017 17356 21695 26034 43390 52068 65085 86780 130170 177899 260340 355798 533697 711596 889495 1067394 1778990 2134788 2668485 3557980 5336970 10673940