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10275720 = 2335713941
BaseRepresentation
bin100111001100…
…101110001000
3201100001122020
4213030232020
510112310340
61004124440
7153225240
oct47145610
921301566
1010275720
115889334
123536720
13218a210
141516b20
15d7e9d0
hex9ccb88

10275720 has 128 divisors (see below), whose sum is σ = 37981440. Its totient is φ = 2165760.

The previous prime is 10275703. The next prime is 10275731. The reversal of 10275720 is 2757201.

10275720 = T429 + T430 + ... + T519.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10450 + ... + 11390.

It is an arithmetic number, because the mean of its divisors is an integer number (296730).

Almost surely, 210275720 is an apocalyptic number.

10275720 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 10275720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990720).

10275720 is an abundant number, since it is smaller than the sum of its proper divisors (27705720).

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

10275720 is a wasteful number, since it uses less digits than its factorization.

10275720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 10275720 is about 3205.5763912283. The cubic root of 10275720 is about 217.4056136900.

The spelling of 10275720 in words is "ten million, two hundred seventy-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 941 1092 1365 1560 1820 1882 2184 2730 2823 3640 3764 4705 5460 5646 6587 7528 9410 10920 11292 12233 13174 14115 18820 19761 22584 24466 26348 28230 32935 36699 37640 39522 48932 52696 56460 61165 65870 73398 79044 85631 97864 98805 112920 122330 131740 146796 158088 171262 183495 197610 244660 256893 263480 293592 342524 366990 395220 428155 489320 513786 685048 733980 790440 856310 1027572 1284465 1467960 1712620 2055144 2568930 3425240 5137860 10275720