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10302940 = 2251921427
BaseRepresentation
bin100111010011…
…010111011100
3201101102222101
4213103113130
510114143230
61004454444
7153400504
oct47232734
921342871
1010302940
1158a782a
12354a424
13219971b
141522a04
15d87aca
hex9d35dc

10302940 has 36 divisors (see below), whose sum is σ = 22850856. Its totient is φ = 3901536.

The previous prime is 10302937. The next prime is 10302947. The reversal of 10302940 is 4920301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6507 + ... + 7933.

It is an arithmetic number, because the mean of its divisors is an integer number (634746).

Almost surely, 210302940 is an apocalyptic number.

10302940 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 10302940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11425428).

10302940 is an abundant number, since it is smaller than the sum of its proper divisors (12547916).

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

10302940 is a wasteful number, since it uses less digits than its factorization.

10302940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 10302940 is about 3209.8193095562. The cubic root of 10302940 is about 217.5974108959.

The spelling of 10302940 in words is "ten million, three hundred two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1427 1444 1805 2854 3610 5708 7135 7220 14270 27113 28540 54226 108452 135565 271130 515147 542260 1030294 2060588 2575735 5151470 10302940