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111068672 = 2911133741
BaseRepresentation
bin1101001111011…
…00011000000000
321201222212120112
412213230120000
5211413144142
615004330452
72516032241
oct647543000
9251885515
10111068672
11577715a0
1231243a28
131a01a910
1410a72cc8
159b3e382
hex69ec600

111068672 has 160 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 44236800.

The previous prime is 111068669. The next prime is 111068677. The reversal of 111068672 is 276860111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111068677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708972 + ... + 2709012.

Almost surely, 2111068672 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 111068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

111068672 is an abundant number, since it is smaller than the sum of its proper divisors (163226272).

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

111068672 is a wasteful number, since it uses less digits than its factorization.

111068672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 111068672 is about 10538.9122778397. The cubic root of 111068672 is about 480.6886411849.

The spelling of 111068672 in words is "one hundred eleven million, sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 41 44 52 64 74 82 88 104 128 143 148 164 176 208 256 286 296 328 352 407 416 451 481 512 533 572 592 656 704 814 832 902 962 1066 1144 1184 1312 1408 1517 1628 1664 1804 1924 2132 2288 2368 2624 2816 3034 3256 3328 3608 3848 4264 4576 4736 5248 5291 5632 5863 6068 6512 6656 7216 7696 8528 9152 9472 10496 10582 11726 12136 13024 14432 15392 16687 17056 18304 18944 19721 20992 21164 23452 24272 26048 28864 30784 33374 34112 36608 39442 42328 46904 48544 52096 57728 61568 66748 68224 73216 78884 84656 93808 97088 104192 115456 123136 133496 136448 157768 169312 187616 194176 208384 216931 230912 246272 266992 272896 315536 338624 375232 388352 433862 533984 631072 677248 750464 776704 867724 1067968 1262144 1354496 1500928 1735448 2135936 2524288 2708992 3001856 3470896 4271872 5048576 6941792 8543744 10097152 13883584 27767168 55534336 111068672