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1861990240 = 25511291912
BaseRepresentation
bin110111011111011…
…1011011101100000
311210202122220102111
41232332323131200
512303132141430
6504432525104
764066440655
oct15676733540
94722586374
101861990240
11876054910
1243b6b0794
132389b5b96
14139411c2c
15ad700c2a
hex6efbb760

1861990240 has 144 divisors (see below), whose sum is σ = 4990461840. Its totient is φ = 650316800.

The previous prime is 1861990201. The next prime is 1861990241. The reversal of 1861990240 is 420991681.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1861990193 and 1861990202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1861990241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9748545 + ... + 9748735.

It is an arithmetic number, because the mean of its divisors is an integer number (34655985).

Almost surely, 21861990240 is an apocalyptic number.

1861990240 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 1861990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495230920).

1861990240 is an abundant number, since it is smaller than the sum of its proper divisors (3128471600).

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

1861990240 is a wasteful number, since it uses less digits than its factorization.

1861990240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 1861990240 is about 43150.7849291296. The cubic root of 1861990240 is about 1230.2474307788.

The spelling of 1861990240 in words is "one billion, eight hundred sixty-one million, nine hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 191 220 232 290 319 352 382 440 464 580 638 764 880 928 955 1160 1276 1528 1595 1760 1910 2101 2320 2552 3056 3190 3820 4202 4640 5104 5539 6112 6380 7640 8404 10208 10505 11078 12760 15280 16808 21010 22156 25520 27695 30560 33616 36481 42020 44312 51040 55390 60929 67232 72962 84040 88624 110780 121858 145924 168080 177248 182405 221560 243716 291848 304645 336160 364810 401291 443120 487432 583696 609290 729620 802582 886240 974864 1057949 1167392 1218580 1459240 1605164 1949728 2006455 2115898 2437160 2918480 3210328 4012910 4231796 4874320 5289745 5836960 6420656 8025820 8463592 9748640 10579490 11637439 12841312 16051640 16927184 21158980 23274878 32103280 33854368 42317960 46549756 58187195 64206560 84635920 93099512 116374390 169271840 186199024 232748780 372398048 465497560 930995120 1861990240