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117937840 = 2451786719
BaseRepresentation
bin1110000011110…
…01011010110000
322012220212022011
413001321122300
5220143002330
615411452304
72631312046
oct701713260
9265825264
10117937840
1160633499
12335b7094
131b584407
1411940396
15a54982a
hex70796b0

117937840 has 40 divisors (see below), whose sum is σ = 290338560. Its totient is φ = 44399616.

The previous prime is 117937829. The next prime is 117937847. The reversal of 117937840 is 48739711.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 117937793 and 117937802.

It is not an unprimeable number, because it can be changed into a prime (117937847) 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 7 ways as a sum of consecutive naturals, for example, 42000 + ... + 44719.

It is an arithmetic number, because the mean of its divisors is an integer number (7258464).

Almost surely, 2117937840 is an apocalyptic number.

117937840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117937840 is an abundant number, since it is smaller than the sum of its proper divisors (172400720).

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

117937840 is a wasteful number, since it uses less digits than its factorization.

117937840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86749 (or 86743 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 117937840 is about 10859.9189683901. The cubic root of 117937840 is about 490.4006718657.

The spelling of 117937840 in words is "one hundred seventeen million, nine hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 86719 173438 346876 433595 693752 867190 1387504 1474223 1734380 2948446 3468760 5896892 6937520 7371115 11793784 14742230 23587568 29484460 58968920 117937840