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117038000 = 2453139421
BaseRepresentation
bin1101111100111…
…01101110110000
322011020010221202
412332131232300
5214430204000
615340310332
72620543442
oct676355660
9264203852
10117038000
1160079422
12332423a8
131b32a971
1411788492
15a41cdd5
hex6f9dbb0

117038000 has 80 divisors (see below), whose sum is σ = 285710880. Its totient is φ = 46368000.

The previous prime is 117037957. The next prime is 117038003. The reversal of 117038000 is 830711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (117038003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277790 + ... + 278210.

It is an arithmetic number, because the mean of its divisors is an integer number (3571386).

Almost surely, 2117038000 is an apocalyptic number.

117038000 is a gapful number since it is divisible by the number (10) 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 117038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142855440).

117038000 is an abundant number, since it is smaller than the sum of its proper divisors (168672880).

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

117038000 is a wasteful number, since it uses less digits than its factorization.

117038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 117038000 is about 10818.4102344106. The cubic root of 117038000 is about 489.1502696269.

Adding to 117038000 its reverse (830711), we get a palindrome (117868711).

The spelling of 117038000 in words is "one hundred seventeen million, thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 139 200 250 278 400 421 500 556 695 842 1000 1112 1390 1684 2000 2105 2224 2780 3368 3475 4210 5560 6736 6950 8420 10525 11120 13900 16840 17375 21050 27800 33680 34750 42100 52625 55600 58519 69500 84200 105250 117038 139000 168400 210500 234076 278000 292595 421000 468152 585190 842000 936304 1170380 1462975 2340760 2925950 4681520 5851900 7314875 11703800 14629750 23407600 29259500 58519000 117038000