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10676988 = 2233729487
BaseRepresentation
bin101000101110…
…101011111100
3202002110002000
4220232223330
510213130423
61020502300
7156516150
oct50565374
922073060
1010676988
116032863
1236aa990
13229aa5a
1415bd060
15e0d843
hexa2eafc

10676988 has 96 divisors (see below), whose sum is σ = 32793600. Its totient is φ = 2939328.

The previous prime is 10676987. The next prime is 10676999. The reversal of 10676988 is 88967601.

It is a happy number.

It is a super-5 number, since 5×106769885 (a number of 36 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10676983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21681 + ... + 22167.

It is an arithmetic number, because the mean of its divisors is an integer number (341600).

Almost surely, 210676988 is an apocalyptic number.

10676988 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 10676988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396800).

10676988 is an abundant number, since it is smaller than the sum of its proper divisors (22116612).

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

10676988 is a wasteful number, since it uses less digits than its factorization.

10676988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 10676988 is about 3267.5660666619. The cubic root of 10676988 is about 220.1994609792.

It can be divided in two parts, 10676 and 988, that added together give a square (11664 = 1082).

The spelling of 10676988 in words is "ten million, six hundred seventy-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 487 522 609 756 783 812 974 1044 1218 1461 1566 1827 1948 2436 2922 3132 3409 3654 4383 5481 5844 6818 7308 8766 10227 10962 13149 13636 14123 17532 20454 21924 26298 28246 30681 40908 42369 52596 56492 61362 84738 92043 98861 122724 127107 169476 184086 197722 254214 296583 368172 381321 395444 508428 593166 762642 889749 1186332 1525284 1779498 2669247 3558996 5338494 10676988