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10997028 = 22327172151
BaseRepresentation
bin101001111100…
…110100100100
3202200201002100
4221330310210
510303401103
61031412100
7162321210
oct51746444
922621070
1010997028
116231259
123824030
132380623
141663940
15e735a3
hexa7cd24

10997028 has 108 divisors (see below), whose sum is σ = 33971392. Its totient is φ = 2937600.

The previous prime is 10996969. The next prime is 10997039. The reversal of 10997028 is 82079901.

It is a happy number.

10997028 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10996983 and 10997001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72753 + ... + 72903.

Almost surely, 210997028 is an apocalyptic number.

10997028 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 10997028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985696).

10997028 is an abundant number, since it is smaller than the sum of its proper divisors (22974364).

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

10997028 is a wasteful number, since it uses less digits than its factorization.

10997028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10997028 is about 3316.1767142298. The cubic root of 10997028 is about 222.3779779533.

The spelling of 10997028 in words is "ten million, nine hundred ninety-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 151 153 204 238 252 289 302 306 357 453 476 578 604 612 714 867 906 1057 1071 1156 1359 1428 1734 1812 2023 2114 2142 2567 2601 2718 3171 3468 4046 4228 4284 5134 5202 5436 6069 6342 7701 8092 9513 10268 10404 12138 12684 15402 17969 18207 19026 23103 24276 30804 35938 36414 38052 43639 46206 53907 71876 72828 87278 92412 107814 130917 161721 174556 215628 261834 305473 323442 392751 523668 610946 646884 785502 916419 1221892 1571004 1832838 2749257 3665676 5498514 10997028