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117273520 = 24571389181
BaseRepresentation
bin1101111110101…
…11001110110000
322011200010000201
412333113032300
5220010223040
615345324544
72622544210
oct677271660
9264603021
10117273520
116021a371
1233336754
131b3b0c20
141180a240
15a467a9a
hex6fd73b0

117273520 has 160 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 36495360.

The previous prime is 117273511. The next prime is 117273521. The reversal of 117273520 is 25372711.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (117273521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647830 + ... + 648010.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2117273520 is an apocalyptic number.

117273520 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 117273520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

117273520 is an abundant number, since it is smaller than the sum of its proper divisors (223954640).

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

117273520 is a wasteful number, since it uses less digits than its factorization.

117273520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 117273520 is about 10829.2899120856. The cubic root of 117273520 is about 489.4781616530.

The spelling of 117273520 in words is "one hundred seventeen million, two hundred seventy-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 89 91 104 112 130 140 178 181 182 208 260 280 356 362 364 445 455 520 560 623 712 724 728 890 905 910 1040 1157 1246 1267 1424 1448 1456 1780 1810 1820 2314 2353 2492 2534 2896 3115 3560 3620 3640 4628 4706 4984 5068 5785 6230 6335 7120 7240 7280 8099 9256 9412 9968 10136 11570 11765 12460 12670 14480 16109 16198 16471 18512 18824 20272 23140 23530 24920 25340 32218 32396 32942 37648 40495 46280 47060 49840 50680 64436 64792 65884 80545 80990 82355 92560 94120 101360 112763 128872 129584 131768 161090 161980 164710 188240 209417 225526 257744 263536 322180 323960 329420 418834 451052 563815 644360 647920 658840 837668 902104 1047085 1127630 1288720 1317680 1465919 1675336 1804208 2094170 2255260 2931838 3350672 4188340 4510520 5863676 7329595 8376680 9021040 11727352 14659190 16753360 23454704 29318380 58636760 117273520