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10693980 = 22325112491
BaseRepresentation
bin101000110010…
…110101011100
3202010022101100
4220302311130
510214201410
61021113100
7156616533
oct50626534
922108340
1010693980
116044600
1236b8790
1322a56cb
1415c531a
15e138c0
hexa32d5c

10693980 has 108 divisors (see below), whose sum is σ = 35728056. Its totient is φ = 2587200.

The previous prime is 10693961. The next prime is 10693987. The reversal of 10693980 is 8939601.

10693980 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 2×106939802 = 228722416480800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10693987) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21535 + ... + 22025.

Almost surely, 210693980 is an apocalyptic number.

10693980 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 10693980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864028).

10693980 is an abundant number, since it is smaller than the sum of its proper divisors (25034076).

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

10693980 is a wasteful number, since it uses less digits than its factorization.

10693980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10693980 is about 3270.1651334451. The cubic root of 10693980 is about 220.3162119489.

The spelling of 10693980 in words is "ten million, six hundred ninety-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 491 495 605 660 726 982 990 1089 1210 1452 1473 1815 1964 1980 2178 2420 2455 2946 3630 4356 4419 4910 5401 5445 5892 7260 7365 8838 9820 10802 10890 14730 16203 17676 21604 21780 22095 27005 29460 32406 44190 48609 54010 59411 64812 81015 88380 97218 108020 118822 162030 178233 194436 237644 243045 297055 324060 356466 486090 534699 594110 712932 891165 972180 1069398 1188220 1782330 2138796 2673495 3564660 5346990 10693980