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117076480 = 295192983
BaseRepresentation
bin1101111101001…
…11001000000000
322011022002201221
412332213020000
5214432421410
615341204424
72621063563
oct676471000
9264262657
10117076480
11600a5324
1233260714
131b342331
14117984da
15a4294da
hex6fa7200

117076480 has 160 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 42319872.

The previous prime is 117076469. The next prime is 117076489. The reversal of 117076480 is 84670711.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (117076489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410519 + ... + 1410601.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2117076480 is an apocalyptic number.

117076480 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 117076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

117076480 is an abundant number, since it is smaller than the sum of its proper divisors (192278720).

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

117076480 is an equidigital number, since it uses as much as digits as its factorization.

117076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 117076480 is about 10820.1885380986. The cubic root of 117076480 is about 489.2038717046.

The spelling of 117076480 in words is "one hundred seventeen million, seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 83 95 116 128 145 152 160 166 190 232 256 290 304 320 332 380 415 464 512 551 580 608 640 664 760 830 928 1102 1160 1216 1280 1328 1520 1577 1660 1856 2204 2320 2407 2432 2560 2656 2755 3040 3154 3320 3712 4408 4640 4814 4864 5312 5510 6080 6308 6640 7424 7885 8816 9280 9628 9728 10624 11020 12035 12160 12616 13280 14848 15770 17632 18560 19256 21248 22040 24070 24320 25232 26560 31540 35264 37120 38512 42496 44080 45733 48140 48640 50464 53120 63080 70528 74240 77024 88160 91466 96280 100928 106240 126160 141056 154048 176320 182932 192560 201856 212480 228665 252320 282112 308096 352640 365864 385120 403712 457330 504640 616192 705280 731728 770240 807424 914660 1009280 1232384 1410560 1463456 1540480 1829320 2018560 2926912 3080960 3658640 4037120 5853824 6161920 7317280 11707648 14634560 23415296 29269120 58538240 117076480