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190928080 = 2457367929
BaseRepresentation
bin10110110000101…
…01010011010000
3111022021011002101
423120111103100
5342334144310
630540130144
74505601430
oct1330252320
9438234071
10190928080
1198857102
1253b36954
133072bcc5
141b5002c0
1511b6643a
hexb6154d0

190928080 has 80 divisors (see below), whose sum is σ = 509253120. Its totient is φ = 65212416.

The previous prime is 190928033. The next prime is 190928119. The reversal of 190928080 is 80829091.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205056 + ... + 205984.

It is an arithmetic number, because the mean of its divisors is an integer number (6365664).

Almost surely, 2190928080 is an apocalyptic number.

190928080 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 190928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254626560).

190928080 is an abundant number, since it is smaller than the sum of its proper divisors (318325040).

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

190928080 is a wasteful number, since it uses less digits than its factorization.

190928080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 190928080 is about 13817.6727418187. The cubic root of 190928080 is about 575.8242294182.

It can be divided in two parts, 19092 and 8080, that added together give a palindrome (27172).

The spelling of 190928080 in words is "one hundred ninety million, nine hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 367 560 734 929 1468 1835 1858 2569 2936 3670 3716 4645 5138 5872 6503 7340 7432 9290 10276 12845 13006 14680 14864 18580 20552 25690 26012 29360 32515 37160 41104 51380 52024 65030 74320 102760 104048 130060 205520 260120 340943 520240 681886 1363772 1704715 2386601 2727544 3409430 4773202 5455088 6818860 9546404 11933005 13637720 19092808 23866010 27275440 38185616 47732020 95464040 190928080