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190793680 = 24571147659
BaseRepresentation
bin10110101111101…
…00011111010000
3111022000022201121
423113310133100
5342320344210
630533212024
74504501540
oct1327643720
9438008647
10190793680
1198775130
1253a91014
13306b2a8c
141b4a7320
1511b3b6da
hexb5f47d0

190793680 has 160 divisors (see below), whose sum is σ = 565678080. Its totient is φ = 58114560.

The previous prime is 190793663. The next prime is 190793699. The reversal of 190793680 is 86397091.

190793680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289191 + ... + 289849.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2190793680 is an apocalyptic number.

190793680 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 190793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282839040).

190793680 is an abundant number, since it is smaller than the sum of its proper divisors (374884400).

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

190793680 is a wasteful number, since it uses less digits than its factorization.

190793680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 190793680 is about 13812.8085485900. The cubic root of 190793680 is about 575.6890843891.

The spelling of 190793680 in words is "one hundred ninety million, seven hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 47 55 56 70 77 80 88 94 110 112 140 154 176 188 220 235 280 308 329 376 385 440 470 517 560 616 658 659 752 770 880 940 1034 1232 1316 1318 1540 1645 1880 2068 2585 2632 2636 3080 3290 3295 3619 3760 4136 4613 5170 5264 5272 6160 6580 6590 7238 7249 8272 9226 10340 10544 13160 13180 14476 14498 18095 18452 20680 23065 26320 26360 28952 28996 30973 36190 36245 36904 41360 46130 50743 52720 57904 57992 61946 72380 72490 73808 92260 101486 115984 123892 144760 144980 154865 184520 202972 216811 247784 253715 289520 289960 309730 340703 369040 405944 433622 495568 507430 579920 619460 681406 811888 867244 1014860 1084055 1238920 1362812 1703515 1734488 2029720 2168110 2384921 2477840 2725624 3407030 3468976 4059440 4336220 4769842 5451248 6814060 8672440 9539684 11924605 13628120 17344880 19079368 23849210 27256240 38158736 47698420 95396840 190793680