Search a number
-
+
117021520 = 2457113157
BaseRepresentation
bin1101111100110…
…01101101010000
322011012022100101
412332121231100
5214424142040
615340102144
72620444420
oct676315520
9264168311
10117021520
1160068000
1233234954
131b323305
1411782480
15a41809a
hex6f99b50

117021520 has 160 divisors (see below), whose sum is σ = 344192256. Its totient is φ = 36241920.

The previous prime is 117021517. The next prime is 117021599. The reversal of 117021520 is 25120711.

117021520 = 3482 + 3492 + ... + 7322.

It is a super-2 number, since 2×1170215202 = 27388072286220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745282 + ... + 745438.

Almost surely, 2117021520 is an apocalyptic number.

117021520 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 117021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172096128).

117021520 is an abundant number, since it is smaller than the sum of its proper divisors (227170736).

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

117021520 is a wasteful number, since it uses less digits than its factorization.

117021520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 117021520 is about 10817.6485430060. The cubic root of 117021520 is about 489.1273096343.

The spelling of 117021520 in words is "one hundred seventeen million, twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 157 176 220 242 280 308 314 385 440 484 560 605 616 628 770 785 847 880 968 1099 1210 1232 1256 1331 1540 1570 1694 1727 1936 2198 2420 2512 2662 3080 3140 3388 3454 4235 4396 4840 5324 5495 6160 6280 6655 6776 6908 8470 8635 8792 9317 9680 10648 10990 12089 12560 13310 13552 13816 16940 17270 17584 18634 18997 21296 21980 24178 26620 27632 33880 34540 37268 37994 43960 46585 48356 53240 60445 67760 69080 74536 75988 87920 93170 94985 96712 106480 120890 132979 138160 149072 151976 186340 189970 193424 208967 241780 265958 303952 372680 379940 417934 483560 531916 664895 745360 759880 835868 967120 1044835 1063832 1329790 1462769 1519760 1671736 2089670 2127664 2659580 2925538 3343472 4179340 5319160 5851076 7313845 8358680 10638320 11702152 14627690 16717360 23404304 29255380 58510760 117021520