Search a number
-
+
70117920 = 2533516231
BaseRepresentation
bin1000010110111…
…10101000100000
311212221100201000
410023132220200
5120422233140
610542512000
71510664265
oct413365040
9155840630
1070117920
11366416a4
121b595600
13116b03c2
14945326c
156250a30
hex42dea20

70117920 has 96 divisors (see below), whose sum is σ = 245427840. Its totient is φ = 18696960.

The previous prime is 70117903. The next prime is 70117921. The reversal of 70117920 is 2971107.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (70117921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3796 + ... + 12435.

It is an arithmetic number, because the mean of its divisors is an integer number (2556540).

Almost surely, 270117920 is an apocalyptic number.

It is an amenable number.

70117920 is an abundant number, since it is smaller than the sum of its proper divisors (175309920).

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

70117920 is a wasteful number, since it uses less digits than its factorization.

70117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16255 (or 16241 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 70117920 is about 8373.6443678962. The cubic root of 70117920 is about 412.3598201367.

The spelling of 70117920 in words is "seventy million, one hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 16231 32462 48693 64924 81155 97386 129848 146079 162310 194772 243465 259696 292158 324620 389544 438237 486930 519392 584316 649240 730395 779088 876474 973860 1168632 1298480 1460790 1558176 1752948 1947720 2191185 2337264 2596960 2921580 3505896 3895440 4382370 4674528 5843160 7011792 7790880 8764740 11686320 14023584 17529480 23372640 35058960 70117920