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1029996 = 223411172
BaseRepresentation
bin11111011011101101100
31221022220000
43323131230
5230424441
634024300
711516622
oct3733554
91838800
101029996
11643940
12418090
132a0a86
141cb512
151552b6
hexfb76c

1029996 has 90 divisors (see below), whose sum is σ = 3120348. Its totient is φ = 293760.

The previous prime is 1029989. The next prime is 1030019. The reversal of 1029996 is 6999201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1029996.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 60580 + ... + 60596.

21029996 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 1029996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560174).

1029996 is an abundant number, since it is smaller than the sum of its proper divisors (2090352).

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

1029996 is a wasteful number, since it uses less digits than its factorization.

1029996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1029996 is about 1014.8871858488. The cubic root of 1029996 is about 100.9900326732.

It can be divided in two parts, 1029 and 996, that added together give a square (2025 = 452).

The spelling of 1029996 in words is "one million, twenty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 289 297 306 324 374 396 459 561 578 594 612 748 867 891 918 1122 1156 1188 1377 1683 1734 1782 1836 2244 2601 2754 3179 3366 3468 3564 5049 5202 5508 6358 6732 7803 9537 10098 10404 12716 15147 15606 19074 20196 23409 28611 30294 31212 38148 46818 57222 60588 85833 93636 114444 171666 257499 343332 514998 1029996