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107771472 = 243553523
BaseRepresentation
bin1100110110001…
…11011001010000
321111210100200000
412123013121100
5210042141342
614405530000
72446020354
oct633073120
9244710600
10107771472
115591a336
1230113900
1319434c03
1410455464
1596dc44c
hex66c7650

107771472 has 120 divisors (see below), whose sum is σ = 319292064. Its totient is φ = 35178624.

The previous prime is 107771467. The next prime is 107771479. The reversal of 107771472 is 274177701.

It is a super-2 number, since 2×1077714722 = 23229380354093568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107771479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205803 + ... + 206325.

Almost surely, 2107771472 is an apocalyptic number.

107771472 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 107771472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159646032).

107771472 is an abundant number, since it is smaller than the sum of its proper divisors (211520592).

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

107771472 is an equidigital number, since it uses as much as digits as its factorization.

107771472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The square root of 107771472 is about 10381.3039643390. The cubic root of 107771472 is about 475.8841843317.

The spelling of 107771472 in words is "one hundred seven million, seven hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 523 636 648 848 954 972 1046 1272 1296 1431 1569 1908 1944 2092 2544 2862 3138 3816 3888 4184 4293 4707 5724 6276 7632 8368 8586 9414 11448 12552 12879 14121 17172 18828 22896 25104 25758 27719 28242 34344 37656 42363 51516 55438 56484 68688 75312 83157 84726 103032 110876 112968 127089 166314 169452 206064 221752 225936 249471 254178 332628 338904 443504 498942 508356 665256 677808 748413 997884 1016712 1330512 1496826 1995768 2033424 2245239 2993652 3991536 4490478 5987304 6735717 8980956 11974608 13471434 17961912 26942868 35923824 53885736 107771472