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10425780 = 2233543449
BaseRepresentation
bin100111110001…
…010110110100
3201121200111000
4213301112310
510132111110
61011243300
7154421601
oct47612664
921550430
1010425780
115981052
1235a9530
132210601
1415556a8
15dae1c0
hex9f15b4

10425780 has 96 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 2709504.

The previous prime is 10425773. The next prime is 10425791. The reversal of 10425780 is 8752401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22996 + ... + 23444.

It is an arithmetic number, because the mean of its divisors is an integer number (346500).

Almost surely, 210425780 is an apocalyptic number.

10425780 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 10425780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

10425780 is an abundant number, since it is smaller than the sum of its proper divisors (22838220).

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

10425780 is a wasteful number, since it uses less digits than its factorization.

10425780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10425780 is about 3228.8976447079. The cubic root of 10425780 is about 218.4587874592.

The spelling of 10425780 in words is "ten million, four hundred twenty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 449 516 540 645 774 860 898 1161 1290 1347 1548 1796 1935 2245 2322 2580 2694 3870 4041 4490 4644 5388 5805 6735 7740 8082 8980 11610 12123 13470 16164 19307 20205 23220 24246 26940 38614 40410 48492 57921 60615 77228 80820 96535 115842 121230 173763 193070 231684 242460 289605 347526 386140 521289 579210 695052 868815 1042578 1158420 1737630 2085156 2606445 3475260 5212890 10425780