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190853040 = 24357216229
BaseRepresentation
bin10110110000000…
…10111110110000
3111022010100011010
423120002332300
5342324244130
630534350520
74505136600
oct1330027660
9438110133
10190853040
1198805794
1253abb440
1330703ac1
141b4c0c00
1511b4e0b0
hexb602fb0

190853040 has 120 divisors (see below), whose sum is σ = 688281840. Its totient is φ = 43620864.

The previous prime is 190853027. The next prime is 190853063. The reversal of 190853040 is 40358091.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 190852989 and 190853007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3646 + ... + 19874.

It is an arithmetic number, because the mean of its divisors is an integer number (5735682).

Almost surely, 2190853040 is an apocalyptic number.

190853040 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 190853040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344140920).

190853040 is an abundant number, since it is smaller than the sum of its proper divisors (497428800).

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

190853040 is a wasteful number, since it uses less digits than its factorization.

190853040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16259 (or 16246 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 190853040 is about 13814.9571117684. The cubic root of 190853040 is about 575.7487812664.

The spelling of 190853040 in words is "one hundred ninety million, eight hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 16229 32458 48687 64916 81145 97374 113603 129832 162290 194748 227206 243435 259664 324580 340809 389496 454412 486870 568015 649160 681618 778992 795221 908824 973740 1136030 1298320 1363236 1590442 1704045 1817648 1947480 2272060 2385663 2726472 3180884 3408090 3894960 3976105 4544120 4771326 5452944 6361768 6816180 7952210 9088240 9542652 11928315 12723536 13632360 15904420 19085304 23856630 27264720 31808840 38170608 47713260 63617680 95426520 190853040