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1122075072 = 26331738197
BaseRepresentation
bin100001011100001…
…1000000111000000
32220012101022122000
41002320120013000
54244222400242
6303201544000
736543323616
oct10270300700
92805338560
101122075072
11526422678
12273945000
1314b60c761
14a90476b6
1568796a4c
hex42e181c0

1122075072 has 112 divisors (see below), whose sum is σ = 3492825120. Its totient is φ = 352014336.

The previous prime is 1122075049. The next prime is 1122075151. The reversal of 1122075072 is 2705702211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10278 + ... + 48474.

Almost surely, 21122075072 is an apocalyptic number.

1122075072 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 1122075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746412560).

1122075072 is an abundant number, since it is smaller than the sum of its proper divisors (2370750048).

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

1122075072 is a wasteful number, since it uses less digits than its factorization.

1122075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38235 (or 38219 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1122075072 is about 33497.3890325798. The cubic root of 1122075072 is about 1039.1397817780.

Adding to 1122075072 its reverse (2705702211), we get a palindrome (3827777283).

The spelling of 1122075072 in words is "one billion, one hundred twenty-two million, seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 38197 76394 114591 152788 229182 305576 343773 458364 611152 649349 687546 916728 1031319 1222304 1298698 1375092 1833456 1948047 2062638 2444608 2597396 2750184 3666912 3896094 4125276 5194792 5500368 5844141 7333824 7792188 8250552 10389584 11000736 11688282 15584376 16501104 17532423 20779168 22001472 23376564 31168752 33002208 35064846 41558336 46753128 62337504 66004416 70129692 93506256 124675008 140259384 187012512 280518768 374025024 561037536 1122075072