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1123728372 = 22321310392311
BaseRepresentation
bin100001011111010…
…1011101111110100
32220022111022112100
41002332223233310
54300133301442
6303301222100
736563351004
oct10276535764
92808438470
101123728372
11527351838
12274401930
1314ba6b140
14a9358004
15689c184c
hex42fabbf4

1123728372 has 72 divisors (see below), whose sum is σ = 3063307520. Its totient is φ = 345280320.

The previous prime is 1123728341. The next prime is 1123728383. The reversal of 1123728372 is 2738273211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485097 + ... + 487407.

Almost surely, 21123728372 is an apocalyptic number.

1123728372 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 1123728372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531653760).

1123728372 is an abundant number, since it is smaller than the sum of its proper divisors (1939579148).

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

1123728372 is a wasteful number, since it uses less digits than its factorization.

1123728372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3368 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 1123728372 is about 33522.0579917164. The cubic root of 1123728372 is about 1039.6498981819.

The spelling of 1123728372 in words is "one billion, one hundred twenty-three million, seven hundred twenty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1039 2078 2311 3117 4156 4622 6234 6933 9244 9351 12468 13507 13866 18702 20799 27014 27732 30043 37404 40521 41598 54028 60086 81042 83196 90129 120172 121563 162084 180258 243126 270387 360516 486252 540774 1081548 2401129 4802258 7203387 9604516 14406774 21610161 28813548 31214677 43220322 62429354 86440644 93644031 124858708 187288062 280932093 374576124 561864186 1123728372