Search a number
-
+
117473280 = 21535239
BaseRepresentation
bin1110000000010…
…00000000000000
322012001021001020
413000020000000
5220033121110
615353505440
72624335461
oct700100000
9265037036
10117473280
1160346461
1233412280
131b450b22
141185cd68
15a4a6d70
hex7008000

117473280 has 128 divisors (see below), whose sum is σ = 377481600. Its totient is φ = 31195136.

The previous prime is 117473269. The next prime is 117473297. The reversal of 117473280 is 82374711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491401 + ... + 491639.

It is an arithmetic number, because the mean of its divisors is an integer number (2949075).

Almost surely, 2117473280 is an apocalyptic number.

117473280 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 117473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188740800).

117473280 is an abundant number, since it is smaller than the sum of its proper divisors (260008320).

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

117473280 is an frugal number, since it uses more digits than its factorization.

117473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 117473280 is about 10838.5091225685. The cubic root of 117473280 is about 489.7559245349.

The spelling of 117473280 in words is "one hundred seventeen million, four hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 239 240 256 320 384 478 480 512 640 717 768 956 960 1024 1195 1280 1434 1536 1912 1920 2048 2390 2560 2868 3072 3585 3824 3840 4096 4780 5120 5736 6144 7170 7648 7680 8192 9560 10240 11472 12288 14340 15296 15360 16384 19120 20480 22944 24576 28680 30592 30720 32768 38240 40960 45888 49152 57360 61184 61440 76480 81920 91776 98304 114720 122368 122880 152960 163840 183552 229440 244736 245760 305920 367104 458880 489472 491520 611840 734208 917760 978944 1223680 1468416 1835520 1957888 2447360 2936832 3671040 3915776 4894720 5873664 7342080 7831552 9789440 11747328 14684160 19578880 23494656 29368320 39157760 58736640 117473280