Search a number
-
+
92290320 = 2433542727
BaseRepresentation
bin1011000000000…
…11110100010000
320102122211112000
411200003310100
5142111242240
613054034000
72200311663
oct540036420
9212584460
1092290320
11481060a1
1226aa8900
1316174575
14c3856da
158180430
hex5803d10

92290320 has 80 divisors (see below), whose sum is σ = 317896320. Its totient is φ = 24610176.

The previous prime is 92290313. The next prime is 92290327. The reversal of 92290320 is 2309229.

It is an interprime number because it is at equal distance from previous prime (92290313) and next prime (92290327).

It is a tau number, because it is divible by the number of its divisors (80).

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 (92290327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19204 + ... + 23523.

It is an arithmetic number, because the mean of its divisors is an integer number (3973704).

Almost surely, 292290320 is an apocalyptic number.

92290320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

92290320 is an abundant number, since it is smaller than the sum of its proper divisors (225606000).

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

92290320 is a wasteful number, since it uses less digits than its factorization.

92290320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42749 (or 42737 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 92290320 is about 9606.7851022077. The cubic root of 92290320 is about 451.9101029875.

Adding to 92290320 its reverse (2309229), we get a palindrome (94599549).

The spelling of 92290320 in words is "ninety-two million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 42727 85454 128181 170908 213635 256362 341816 384543 427270 512724 640905 683632 769086 854540 1025448 1153629 1281810 1538172 1709080 1922715 2050896 2307258 2563620 3076344 3418160 3845430 4614516 5127240 5768145 6152688 7690860 9229032 10254480 11536290 15381720 18458064 23072580 30763440 46145160 92290320