Search a number
-
+
69121320 = 233517311093
BaseRepresentation
bin1000001111010…
…11010100101000
311211001201121220
410013223110220
5120143340240
610505302040
71466343612
oct407532450
9154051556
1069121320
1136020964
121b194920
13114218b8
149273db2
1561055d0
hex41eb528

69121320 has 128 divisors (see below), whose sum is σ = 226851840. Its totient is φ = 16773120.

The previous prime is 69121277. The next prime is 69121361. The reversal of 69121320 is 2312196.

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

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, 62694 + ... + 63786.

It is an arithmetic number, because the mean of its divisors is an integer number (1772280).

Almost surely, 269121320 is an apocalyptic number.

69121320 is a gapful number since it is divisible by the number (60) 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 69121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113425920).

69121320 is an abundant number, since it is smaller than the sum of its proper divisors (157730520).

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

69121320 is a wasteful number, since it uses less digits than its factorization.

69121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 69121320 is about 8313.9232616136. The cubic root of 69121320 is about 410.3968396490.

The spelling of 69121320 in words is "sixty-nine million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 170 186 204 248 255 310 340 372 408 465 510 527 620 680 744 930 1020 1054 1093 1240 1581 1860 2040 2108 2186 2635 3162 3279 3720 4216 4372 5270 5465 6324 6558 7905 8744 10540 10930 12648 13116 15810 16395 18581 21080 21860 26232 31620 32790 33883 37162 43720 55743 63240 65580 67766 74324 92905 101649 111486 131160 135532 148648 169415 185810 203298 222972 271064 278715 338830 371620 406596 445944 508245 557430 576011 677660 743240 813192 1016490 1114860 1152022 1355320 1728033 2032980 2229720 2304044 2880055 3456066 4065960 4608088 5760110 6912132 8640165 11520220 13824264 17280330 23040440 34560660 69121320