Search a number
-
+
117844320 = 25351122029
BaseRepresentation
bin1110000011000…
…10100101100000
322012202010000110
413001202211200
5220132004240
615405451320
72630442306
oct701424540
9265663013
10117844320
116057a200
1233570b40
131b550989
1411918276
15a52bc80
hex7062960

117844320 has 144 divisors (see below), whose sum is σ = 408224880. Its totient is φ = 28554240.

The previous prime is 117844303. The next prime is 117844333. The reversal of 117844320 is 23448711.

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

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, 57066 + ... + 59094.

It is an arithmetic number, because the mean of its divisors is an integer number (2834895).

Almost surely, 2117844320 is an apocalyptic number.

117844320 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 117844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204112440).

117844320 is an abundant number, since it is smaller than the sum of its proper divisors (290380560).

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

117844320 is a wasteful number, since it uses less digits than its factorization.

117844320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 117844320 is about 10855.6123733302. The cubic root of 117844320 is about 490.2710148688.

The spelling of 117844320 in words is "one hundred seventeen million, eight hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2029 2420 2640 2904 3630 3872 4058 4840 5280 5808 6087 7260 8116 9680 10145 11616 12174 14520 16232 19360 20290 22319 24348 29040 30435 32464 40580 44638 48696 58080 60870 64928 66957 81160 89276 97392 111595 121740 133914 162320 178552 194784 223190 243480 245509 267828 324640 334785 357104 446380 486960 491018 535656 669570 714208 736527 892760 973920 982036 1071312 1227545 1339140 1473054 1785520 1964072 2142624 2455090 2678280 2946108 3571040 3682635 3928144 4910180 5356560 5892216 7365270 7856288 9820360 10713120 11784432 14730540 19640720 23568864 29461080 39281440 58922160 117844320