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190778240 = 2751929541
BaseRepresentation
bin10110101111100…
…00101110000000
3111021222112112202
423113300232000
5342314400430
630533012332
74504405532
oct1327605600
9437875482
10190778240
1198764574
1253a840a8
13306a8a43
141b4a1852
1511b36d45
hexb5f0b80

190778240 has 128 divisors (see below), whose sum is σ = 497556000. Its totient is φ = 69672960.

The previous prime is 190778227. The next prime is 190778243. The reversal of 190778240 is 42877091.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 190778194 and 190778203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190778243) 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, 352370 + ... + 352910.

Almost surely, 2190778240 is an apocalyptic number.

190778240 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 190778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248778000).

190778240 is an abundant number, since it is smaller than the sum of its proper divisors (306777760).

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

190778240 is a wasteful number, since it uses less digits than its factorization.

190778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 190778240 is about 13812.2496357400. The cubic root of 190778240 is about 575.6735547356.

It can be divided in two parts, 190 and 778240, that multiplied together give a square (147865600 = 121602).

The spelling of 190778240 in words is "one hundred ninety million, seven hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 128 145 152 160 190 232 290 304 320 380 464 541 551 580 608 640 760 928 1082 1102 1160 1216 1520 1856 2164 2204 2320 2432 2705 2755 3040 3712 4328 4408 4640 5410 5510 6080 8656 8816 9280 10279 10820 11020 12160 15689 17312 17632 18560 20558 21640 22040 31378 34624 35264 41116 43280 44080 51395 62756 69248 70528 78445 82232 86560 88160 102790 125512 156890 164464 173120 176320 205580 251024 298091 313780 328928 346240 352640 411160 502048 596182 627560 657856 822320 1004096 1192364 1255120 1315712 1490455 1644640 2008192 2384728 2510240 2980910 3289280 4769456 5020480 5961820 6578560 9538912 10040960 11923640 19077824 23847280 38155648 47694560 95389120 190778240