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190812480 = 2635474229
BaseRepresentation
bin10110101111110…
…01000101000000
3111022001021111220
423113321011000
5342321444410
630533435040
74504610415
oct1327710500
9438037456
10190812480
1198788271
1253a9ba80
13306bb4c1
141b4b010c
1511b42070
hexb5f9140

190812480 has 112 divisors (see below), whose sum is σ = 618865920. Its totient is φ = 49788928.

The previous prime is 190812469. The next prime is 190812481. The reversal of 190812480 is 84218091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190812481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43006 + ... + 47234.

Almost surely, 2190812480 is an apocalyptic number.

190812480 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 190812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309432960).

190812480 is an abundant number, since it is smaller than the sum of its proper divisors (428053440).

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

190812480 is a wasteful number, since it uses less digits than its factorization.

190812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 190812480 is about 13813.4890596113. The cubic root of 190812480 is about 575.7079924217.

The spelling of 190812480 in words is "one hundred ninety million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4229 4512 5640 7520 8458 9024 11280 12687 15040 16916 21145 22560 25374 33832 42290 45120 50748 63435 67664 84580 101496 126870 135328 169160 198763 202992 253740 270656 338320 397526 405984 507480 596289 676640 795052 811968 993815 1014960 1192578 1353280 1590104 1987630 2029920 2385156 2981445 3180208 3975260 4059840 4770312 5962890 6360416 7950520 9540624 11925780 12720832 15901040 19081248 23851560 31802080 38162496 47703120 63604160 95406240 190812480