Search a number
-
+
92142380 = 225111771347
BaseRepresentation
bin1010111110111…
…11101100101100
320102101022120202
411133133230230
5142042024010
613050533032
72166124451
oct537375454
9212338522
1092142380
1148014a30
1226a37178
1316122125
14c347828
1581516a5
hex57dfb2c

92142380 has 96 divisors (see below), whose sum is σ = 227308032. Its totient is φ = 31001600.

The previous prime is 92142377. The next prime is 92142389. The reversal of 92142380 is 8324129.

It is not an unprimeable number, because it can be changed into a prime (92142389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265367 + ... + 265713.

It is an arithmetic number, because the mean of its divisors is an integer number (2367792).

Almost surely, 292142380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92142380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113654016).

92142380 is an abundant number, since it is smaller than the sum of its proper divisors (135165652).

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

92142380 is a wasteful number, since it uses less digits than its factorization.

92142380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 92142380 is about 9599.0822477985. The cubic root of 92142380 is about 451.6685054746.

The spelling of 92142380 in words is "ninety-two million, one hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 71 85 110 142 170 187 220 284 340 347 355 374 694 710 748 781 935 1207 1388 1420 1562 1735 1870 2414 3124 3470 3740 3817 3905 4828 5899 6035 6940 7634 7810 11798 12070 13277 15268 15620 19085 23596 24140 24637 26554 29495 38170 49274 53108 58990 64889 66385 76340 98548 117980 123185 129778 132770 246370 259556 265540 271007 324445 418829 492740 542014 648890 837658 1084028 1297780 1355035 1675316 2094145 2710070 4188290 4607119 5420140 8376580 9214238 18428476 23035595 46071190 92142380