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10698072 = 2337211827
BaseRepresentation
bin101000110011…
…110101011000
3202010111222220
4220303311120
510214314242
61021144040
7156634500
oct50636530
922114886
1010698072
116047690
1236bb020
1322a7528
1415c6a00
15e14bec
hexa33d58

10698072 has 96 divisors (see below), whose sum is σ = 33981120. Its totient is φ = 2775360.

The previous prime is 10698053. The next prime is 10698073. The reversal of 10698072 is 27089601.

10698072 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 super-2 number, since 2×106980722 = 228897489034368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10698073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12523 + ... + 13349.

It is an arithmetic number, because the mean of its divisors is an integer number (353970).

Almost surely, 210698072 is an apocalyptic number.

10698072 is a gapful number since it is divisible by the number (12) 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 10698072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990560).

10698072 is an abundant number, since it is smaller than the sum of its proper divisors (23283048).

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

10698072 is a wasteful number, since it uses less digits than its factorization.

10698072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10698072 is about 3270.7907300835. The cubic root of 10698072 is about 220.3443093450.

The spelling of 10698072 in words is "ten million, six hundred ninety-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 827 924 1078 1176 1617 1654 1848 2156 2481 3234 3308 4312 4962 5789 6468 6616 9097 9924 11578 12936 17367 18194 19848 23156 27291 34734 36388 40523 46312 54582 63679 69468 72776 81046 109164 121569 127358 138936 162092 191037 218328 243138 254716 324184 382074 445753 486276 509432 764148 891506 972552 1337259 1528296 1783012 2674518 3566024 5349036 10698072