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117944928 = 2532537727
BaseRepresentation
bin1110000011110…
…11001001100000
322012221020000200
413001323021200
5220143214203
615411545200
72631341523
oct701731140
9265836020
10117944928
1160638852
12335bb200
131b5876ca
1411942bba
15a54b9a3
hex707b260

117944928 has 72 divisors (see below), whose sum is σ = 341778528. Its totient is φ = 38568192.

The previous prime is 117944921. The next prime is 117944941. The reversal of 117944928 is 829449711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1179449282 = 27822012081850368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117944921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11401 + ... + 19127.

It is an arithmetic number, because the mean of its divisors is an integer number (4746924).

Almost surely, 2117944928 is an apocalyptic number.

117944928 is a gapful number since it is divisible by the number (18) 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 117944928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170889264).

117944928 is an abundant number, since it is smaller than the sum of its proper divisors (223833600).

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

117944928 is a wasteful number, since it uses less digits than its factorization.

117944928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7796 (or 7785 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 117944928 is about 10860.2453010970. The cubic root of 117944928 is about 490.4104959401.

The spelling of 117944928 in words is "one hundred seventeen million, nine hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 7727 15264 15454 23181 30908 46362 61816 69543 92724 123632 139086 185448 247264 278172 370896 409531 556344 741792 819062 1112688 1228593 1638124 2225376 2457186 3276248 3685779 4914372 6552496 7371558 9828744 13104992 14743116 19657488 29486232 39314976 58972464 117944928