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10755030 = 235111323109
BaseRepresentation
bin101001000001…
…101111010110
3202020102010110
4221001233112
510223130110
61022303450
7160262526
oct51015726
922212113
1010755030
116086460
123727b86
1322c7430
1415dd686
15e26a20
hexa41bd6

10755030 has 128 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 2280960.

The previous prime is 10755029. The next prime is 10755037. The reversal of 10755030 is 3055701.

It is a happy number.

10755030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10754988 and 10755006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10755037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98616 + ... + 98724.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 210755030 is an apocalyptic number.

10755030 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 10755030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

10755030 is an abundant number, since it is smaller than the sum of its proper divisors (21178410).

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

10755030 is a wasteful number, since it uses less digits than its factorization.

10755030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 10755030 is about 3279.4862402517. The cubic root of 10755030 is about 220.7346651500.

It can be divided in two parts, 1075 and 5030, that added together give a triangular number (6105 = T110).

The spelling of 10755030 in words is "ten million, seven hundred fifty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 23 26 30 33 39 46 55 65 66 69 78 109 110 115 130 138 143 165 195 218 230 253 286 299 327 330 345 390 429 506 545 598 654 690 715 759 858 897 1090 1199 1265 1417 1430 1495 1518 1635 1794 2145 2398 2507 2530 2834 2990 3270 3289 3597 3795 4251 4290 4485 5014 5995 6578 7085 7194 7521 7590 8502 8970 9867 11990 12535 14170 15042 15587 16445 17985 19734 21255 25070 27577 31174 32591 32890 35970 37605 42510 46761 49335 55154 65182 75210 77935 82731 93522 97773 98670 137885 155870 162955 165462 195546 233805 275770 325910 358501 413655 467610 488865 717002 827310 977730 1075503 1792505 2151006 3585010 5377515 10755030