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10322740 = 2251797313
BaseRepresentation
bin100111011000…
…001100110100
3201102110010201
4213120030310
510120311430
61005130244
7153512311
oct47301464
921373121
1010322740
11591069a
123559984
1321a573c
141529d08
15d8d8ca
hex9d8334

10322740 has 48 divisors (see below), whose sum is σ = 23263632. Its totient is φ = 3833856.

The previous prime is 10322731. The next prime is 10322747. The reversal of 10322740 is 4722301.

It can be written as a sum of positive squares in 8 ways, for example, as 910116 + 9412624 = 954^2 + 3068^2 .

It is a super-2 number, since 2×103227402 = 213117922215200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322747) 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 15 ways as a sum of consecutive naturals, for example, 32824 + ... + 33136.

It is an arithmetic number, because the mean of its divisors is an integer number (484659).

Almost surely, 210322740 is an apocalyptic number.

10322740 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 10322740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631816).

10322740 is an abundant number, since it is smaller than the sum of its proper divisors (12940892).

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

10322740 is a wasteful number, since it uses less digits than its factorization.

10322740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 10322740 is about 3212.9021149111. The cubic root of 10322740 is about 217.7367132609.

The spelling of 10322740 in words is "ten million, three hundred twenty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 313 340 388 485 626 970 1252 1565 1649 1940 3130 3298 5321 6260 6596 8245 10642 16490 21284 26605 30361 32980 53210 60722 106420 121444 151805 303610 516137 607220 1032274 2064548 2580685 5161370 10322740