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117289200 = 24352713963
BaseRepresentation
bin1101111110110…
…11000011110000
322011200220112110
412333123003300
5220011223300
615345525320
72622641010
oct677330360
9264626473
10117289200
1160230126
1233343840
131b3b80c2
1411811c40
15a46c550
hex6fdb0f0

117289200 has 120 divisors (see below), whose sum is σ = 429420928. Its totient is φ = 26807040.

The previous prime is 117289189. The next prime is 117289229. The reversal of 117289200 is 2982711.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419 + ... + 15381.

Almost surely, 2117289200 is an apocalyptic number.

117289200 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 117289200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214710464).

117289200 is an abundant number, since it is smaller than the sum of its proper divisors (312131728).

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

117289200 is a wasteful number, since it uses less digits than its factorization.

117289200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13991 (or 13980 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 117289200 is about 10830.0138504067. The cubic root of 117289200 is about 489.4999758288.

The spelling of 117289200 in words is "one hundred seventeen million, two hundred eighty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 13963 27926 41889 55852 69815 83778 97741 111704 139630 167556 195482 209445 223408 279260 293223 335112 349075 390964 418890 488705 558520 586446 670224 698150 781928 837780 977410 1047225 1117040 1172892 1396300 1466115 1563856 1675560 1954820 2094450 2345784 2443525 2792600 2932230 3351120 3909640 4188900 4691568 4887050 5585200 5864460 7330575 7819280 8377800 9774100 11728920 14661150 16755600 19548200 23457840 29322300 39096400 58644600 117289200