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126602028 = 2235723809
BaseRepresentation
bin1111000101111…
…00101100101100
322211020001100000
413202330230230
5224402231103
620321304300
73065046060
oct742745454
9284201300
10126602028
1165510a83
1236495090
13202c8c57
1412b57aa0
15b1abaa3
hex78bcb2c

126602028 has 144 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 34556544.

The previous prime is 126602027. The next prime is 126602029. The reversal of 126602028 is 820206621.

It is an interprime number because it is at equal distance from previous prime (126602027) and next prime (126602029).

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

It is a junction number, because it is equal to n+sod(n) for n = 126601992 and 126602010.

It is not an unprimeable number, because it can be changed into a prime (126602027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156088 + ... + 156896.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2126602028 is an apocalyptic number.

126602028 is a gapful number since it is divisible by the number (18) 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 126602028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

126602028 is an abundant number, since it is smaller than the sum of its proper divisors (269662932).

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

126602028 is a wasteful number, since it uses less digits than its factorization.

126602028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126602028 is about 11251.7566628505. The cubic root of 126602028 is about 502.1269764457.

Adding to 126602028 its reverse (820206621), we get a palindrome (946808649).

The spelling of 126602028 in words is "one hundred twenty-six million, six hundred two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 243 252 276 322 324 378 414 483 486 567 621 644 756 809 828 966 972 1134 1242 1449 1618 1701 1863 1932 2268 2427 2484 2898 3236 3402 3726 4347 4854 5589 5663 5796 6804 7281 7452 8694 9708 11178 11326 13041 14562 16989 17388 18607 21843 22356 22652 26082 29124 33978 37214 39123 43686 50967 52164 55821 65529 67956 74428 78246 87372 101934 111642 130249 131058 152901 156492 167463 196587 203868 223284 260498 262116 305802 334926 390747 393174 458703 502389 520996 611604 669852 781494 786348 917406 1004778 1172241 1376109 1507167 1562988 1834812 2009556 2344482 2752218 3014334 3516723 4521501 4688964 5504436 6028668 7033446 9043002 10550169 14066892 18086004 21100338 31650507 42200676 63301014 126602028