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10694640 = 2435114051
BaseRepresentation
bin101000110010…
…111111110000
3202010100021210
4220302333300
510214212030
61021120120
7156621465
oct50627760
922110253
1010694640
116045050
1236b9040
1322a5ab8
1415c566c
15e13bb0
hexa32ff0

10694640 has 80 divisors (see below), whose sum is σ = 36176256. Its totient is φ = 2592000.

The previous prime is 10694639. The next prime is 10694641. The reversal of 10694640 is 4649601.

It is an interprime number because it is at equal distance from previous prime (10694639) and next prime (10694641).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106946402 = 228750649459200, 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 = 10694598 and 10694607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10694641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615 + ... + 4665.

Almost surely, 210694640 is an apocalyptic number.

10694640 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 10694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088128).

10694640 is an abundant number, since it is smaller than the sum of its proper divisors (25481616).

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

10694640 is a wasteful number, since it uses less digits than its factorization.

10694640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10694640 is about 3270.2660442233. The cubic root of 10694640 is about 220.3207442717.

The spelling of 10694640 in words is "ten million, six hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4051 8102 12153 16204 20255 24306 32408 40510 44561 48612 60765 64816 81020 89122 97224 121530 133683 162040 178244 194448 222805 243060 267366 324080 356488 445610 486120 534732 668415 712976 891220 972240 1069464 1336830 1782440 2138928 2673660 3564880 5347320 10694640