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10755990 = 234572271
BaseRepresentation
bin101001000001…
…111110010110
3202020110110000
4221001332112
510223142430
61022312130
7160265400
oct51017626
922213400
1010755990
116087153
123728646
1322c79bb
1415ddb70
15e26e60
hexa41f96

10755990 has 120 divisors (see below), whose sum is σ = 33767712. Its totient is φ = 2449440.

The previous prime is 10755989. The next prime is 10755991. The reversal of 10755990 is 9955701.

It is a happy number.

10755990 is a `hidden beast` number, since 10 + 7 + 559 + 90 = 666.

10755990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10755989) and next prime (10755991).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10755991) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39555 + ... + 39825.

Almost surely, 210755990 is an apocalyptic number.

10755990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10755990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16883856).

10755990 is an abundant number, since it is smaller than the sum of its proper divisors (23011722).

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

10755990 is a wasteful number, since it uses less digits than its factorization.

10755990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 10755990 is about 3279.6326013747. The cubic root of 10755990 is about 220.7412325878.

The spelling of 10755990 in words is "ten million, seven hundred fifty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 271 294 315 378 405 441 490 542 567 630 735 810 813 882 945 1134 1323 1355 1470 1626 1890 1897 2205 2439 2646 2710 2835 3794 3969 4065 4410 4878 5670 5691 6615 7317 7938 8130 9485 11382 12195 13230 13279 14634 17073 18970 19845 21951 24390 26558 28455 34146 36585 39690 39837 43902 51219 56910 66395 73170 79674 85365 102438 109755 119511 132790 153657 170730 199185 219510 239022 256095 307314 358533 398370 512190 597555 717066 768285 1075599 1195110 1536570 1792665 2151198 3585330 5377995 10755990