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10998768 = 2431137563
BaseRepresentation
bin101001111101…
…001111110000
3202200210110210
4221331033300
510303430033
61031424120
7162326244
oct51751760
922623423
1010998768
1162325a0
123825040
132381361
141664424
15e73d63
hexa7d3f0

10998768 has 80 divisors (see below), whose sum is σ = 31890816. Its totient is φ = 3237120.

The previous prime is 10998763. The next prime is 10998781. The reversal of 10998768 is 86789901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10998763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19255 + ... + 19817.

Almost surely, 210998768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10998768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945408).

10998768 is an abundant number, since it is smaller than the sum of its proper divisors (20892048).

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

10998768 is a wasteful number, since it uses less digits than its factorization.

10998768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 10998768 is about 3316.4390541664. The cubic root of 10998768 is about 222.3897058879.

The spelling of 10998768 in words is "ten million, nine hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 563 592 814 888 1126 1221 1628 1689 1776 2252 2442 3256 3378 4504 4884 6193 6512 6756 9008 9768 12386 13512 18579 19536 20831 24772 27024 37158 41662 49544 62493 74316 83324 99088 124986 148632 166648 229141 249972 297264 333296 458282 499944 687423 916564 999888 1374846 1833128 2749692 3666256 5499384 10998768