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10312740 = 22325234753
BaseRepresentation
bin100111010101…
…110000100100
3201101221102100
4213111300210
510120001430
61005012100
7153441204
oct47256044
921357370
1010312740
115904129
123554030
1321a1019
141526404
15d8a960
hex9d5c24

10312740 has 144 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 2525952.

The previous prime is 10312723. The next prime is 10312747. The reversal of 10312740 is 4721301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10312747) 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 47 ways as a sum of consecutive naturals, for example, 194554 + ... + 194606.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 210312740 is an apocalyptic number.

10312740 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 10312740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

10312740 is an abundant number, since it is smaller than the sum of its proper divisors (23652828).

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

10312740 is a wasteful number, since it uses less digits than its factorization.

10312740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10312740 is about 3211.3455123982. The cubic root of 10312740 is about 217.6663808166. Note that the first 3 decimals are identical.

The spelling of 10312740 in words is "ten million, three hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 47 53 60 69 90 92 94 106 115 138 141 159 180 188 207 212 230 235 265 276 282 318 345 414 423 460 470 477 530 564 636 690 705 795 828 846 940 954 1035 1060 1081 1219 1380 1410 1590 1692 1908 2070 2115 2162 2385 2438 2491 2820 3180 3243 3657 4140 4230 4324 4770 4876 4982 5405 6095 6486 7314 7473 8460 9540 9729 9964 10810 10971 12190 12455 12972 14628 14946 16215 18285 19458 21620 21942 22419 24380 24910 29892 32430 36570 37365 38916 43884 44838 48645 49820 54855 57293 64860 73140 74730 89676 97290 109710 112095 114586 149460 171879 194580 219420 224190 229172 286465 343758 448380 515637 572930 687516 859395 1031274 1145860 1718790 2062548 2578185 3437580 5156370 10312740