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117014000 = 2453411427
BaseRepresentation
bin1101111100101…
…11110111110000
322011011221000212
412332113313300
5214423422000
615340003252
72620413455
oct676276760
9264157025
10117014000
1160062394
1233230528
131b31ca6c
141177d82c
15a415c35
hex6f97df0

117014000 has 80 divisors (see below), whose sum is σ = 290043936. Its totient is φ = 45632000.

The previous prime is 117013993. The next prime is 117014011. The reversal of 117014000 is 410711.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81287 + ... + 82713.

Almost surely, 2117014000 is an apocalyptic number.

117014000 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 117014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145021968).

117014000 is an abundant number, since it is smaller than the sum of its proper divisors (173029936).

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

117014000 is a wasteful number, since it uses less digits than its factorization.

117014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 117014000 is about 10817.3009572629. The cubic root of 117014000 is about 489.1168320282.

Adding to 117014000 its reverse (410711), we get a palindrome (117424711).

The spelling of 117014000 in words is "one hundred seventeen million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1427 1640 2000 2050 2854 3280 4100 5125 5708 7135 8200 10250 11416 14270 16400 20500 22832 28540 35675 41000 57080 58507 71350 82000 114160 117014 142700 178375 234028 285400 292535 356750 468056 570800 585070 713500 936112 1170140 1427000 1462675 2340280 2854000 2925350 4680560 5850700 7313375 11701400 14626750 23402800 29253500 58507000 117014000