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10269420 = 223573499
BaseRepresentation
bin100111001011…
…001011101100
3201022201222220
4213023023230
510112110140
61004035340
7153201000
oct47131354
921281886
1010269420
115884627
123532b50
1321873a5
141514700
15d7cbd0
hex9cb2ec

10269420 has 96 divisors (see below), whose sum is σ = 33600000. Its totient is φ = 2342592.

The previous prime is 10269407. The next prime is 10269433. The reversal of 10269420 is 2496201.

It is an interprime number because it is at equal distance from previous prime (10269407) and next prime (10269433).

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, 20331 + ... + 20829.

It is an arithmetic number, because the mean of its divisors is an integer number (350000).

Almost surely, 210269420 is an apocalyptic number.

10269420 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 10269420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800000).

10269420 is an abundant number, since it is smaller than the sum of its proper divisors (23330580).

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

10269420 is a wasteful number, since it uses less digits than its factorization.

10269420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10269420 is about 3204.5935779752. The cubic root of 10269420 is about 217.3611744561.

The spelling of 10269420 in words is "ten million, two hundred sixty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 499 588 686 735 980 998 1029 1372 1470 1497 1715 1996 2058 2495 2940 2994 3430 3493 4116 4990 5145 5988 6860 6986 7485 9980 10290 10479 13972 14970 17465 20580 20958 24451 29940 34930 41916 48902 52395 69860 73353 97804 104790 122255 146706 171157 209580 244510 293412 342314 366765 489020 513471 684628 733530 855785 1026942 1467060 1711570 2053884 2567355 3423140 5134710 10269420