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117502080 = 2735193221
BaseRepresentation
bin1110000000011…
…11000010000000
322012002201112220
413000033002000
5220040031310
615354251040
72624515443
oct700170200
9265081486
10117502080
1160366063
1233426a80
131b460c77
141186965a
15a4b0670
hex700f080

117502080 has 128 divisors (see below), whose sum is σ = 394372800. Its totient is φ = 29675520.

The previous prime is 117502069. The next prime is 117502081. The reversal of 117502080 is 80205711.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 117502080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117502081) 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, 34870 + ... + 38090.

Almost surely, 2117502080 is an apocalyptic number.

117502080 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 117502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197186400).

117502080 is an abundant number, since it is smaller than the sum of its proper divisors (276870720).

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

117502080 is a wasteful number, since it uses less digits than its factorization.

117502080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 117502080 is about 10839.8376371604. The cubic root of 117502080 is about 489.7959444671.

Adding to 117502080 its reverse (80205711), we get a palindrome (197707791).

The spelling of 117502080 in words is "one hundred seventeen million, five hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3221 3648 4560 6080 6442 7296 9120 9663 12160 12884 16105 18240 19326 25768 32210 36480 38652 48315 51536 61199 64420 77304 96630 103072 122398 128840 154608 183597 193260 206144 244796 257680 305995 309216 367194 386520 412288 489592 515360 611990 618432 734388 773040 917985 979184 1030720 1223980 1236864 1468776 1546080 1835970 1958368 2061440 2447960 2937552 3092160 3671940 3916736 4895920 5875104 6184320 7343880 7833472 9791840 11750208 14687760 19583680 23500416 29375520 39167360 58751040 117502080