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10700620 = 2257261179
BaseRepresentation
bin101000110100…
…011101001100
3202010122111021
4220310131030
510214404440
61021203524
7156645100
oct50643514
922118437
1010700620
116049597
1237005a4
1322a8738
1415c7900
15e1584a
hexa3474c

10700620 has 72 divisors (see below), whose sum is σ = 26717040. Its totient is φ = 3588480.

The previous prime is 10700617. The next prime is 10700621. The reversal of 10700620 is 2600701.

It is a super-2 number, since 2×107006202 = 229006536768800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10700594 and 10700603.

It is not an unprimeable number, because it can be changed into a prime (10700621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59691 + ... + 59869.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 210700620 is an apocalyptic number.

10700620 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 10700620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358520).

10700620 is an abundant number, since it is smaller than the sum of its proper divisors (16016420).

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

10700620 is a wasteful number, since it uses less digits than its factorization.

10700620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10700620 is about 3271.1802151517. The cubic root of 10700620 is about 220.3618013670.

The spelling of 10700620 in words is "ten million, seven hundred thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 179 196 244 245 305 358 427 490 610 716 854 895 980 1220 1253 1708 1790 2135 2506 2989 3580 4270 5012 5978 6265 8540 8771 10919 11956 12530 14945 17542 21838 25060 29890 35084 43676 43855 54595 59780 76433 87710 109190 152866 175420 218380 305732 382165 535031 764330 1070062 1528660 2140124 2675155 5350310 10700620