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1228032 = 28321341
BaseRepresentation
bin100101011110100000000
32022101112200
410223310000
5303244112
642153200
713303161
oct4536400
92271480
101228032
11769703
124b2800
1333cc60
1423d768
15193cdc
hex12bd00

1228032 has 108 divisors (see below), whose sum is σ = 3906084. Its totient is φ = 368640.

The previous prime is 1228021. The next prime is 1228091. The reversal of 1228032 is 2308221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 1115136 = 336^2 + 1056^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1227996 and 1228014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29932 + ... + 29972.

21228032 is an apocalyptic number.

1228032 is a gapful number since it is divisible by the number (12) 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 1228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953042).

1228032 is an abundant number, since it is smaller than the sum of its proper divisors (2678052).

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

1228032 is a wasteful number, since it uses less digits than its factorization.

1228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1228032 is about 1108.1660525391. The cubic root of 1228032 is about 107.0869529310.

The spelling of 1228032 in words is "one million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 64 72 78 82 96 104 117 123 128 144 156 164 192 208 234 246 256 288 312 328 369 384 416 468 492 533 576 624 656 738 768 832 936 984 1066 1152 1248 1312 1476 1599 1664 1872 1968 2132 2304 2496 2624 2952 3198 3328 3744 3936 4264 4797 4992 5248 5904 6396 7488 7872 8528 9594 9984 10496 11808 12792 14976 15744 17056 19188 23616 25584 29952 31488 34112 38376 47232 51168 68224 76752 94464 102336 136448 153504 204672 307008 409344 614016 1228032