Search a number
-
+
1990864640 = 28531131383
BaseRepresentation
bin111011010101010…
…0010111100000000
312010202011101212102
41312222202330000
513034130132030
6525315045532
7100223033042
oct16652427400
95122141772
101990864640
11931878086
124768a08a8
132595c921b
1414c59ba92
15b9baac45
hex76aa2f00

1990864640 has 144 divisors (see below), whose sum is σ = 4973101056. Its totient is φ = 762777600.

The previous prime is 1990864627. The next prime is 1990864657. The reversal of 1990864640 is 464680991.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5197889 + ... + 5198271.

It is an arithmetic number, because the mean of its divisors is an integer number (34535424).

Almost surely, 21990864640 is an apocalyptic number.

1990864640 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 1990864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486550528).

1990864640 is an abundant number, since it is smaller than the sum of its proper divisors (2982236416).

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

1990864640 is a wasteful number, since it uses less digits than its factorization.

1990864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 1990864640 is about 44619.1062214384. The cubic root of 1990864640 is about 1257.9998163318. Note that the first 3 decimals are identical.

It can be divided in two parts, 19908 and 64640, that added together give a palindrome (84548).

The spelling of 1990864640 in words is "one billion, nine hundred ninety million, eight hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 131 155 160 248 256 262 310 320 383 496 524 620 640 655 766 992 1048 1240 1280 1310 1532 1915 1984 2096 2480 2620 3064 3830 3968 4061 4192 4960 5240 6128 7660 7936 8122 8384 9920 10480 11873 12256 15320 16244 16768 19840 20305 20960 23746 24512 30640 32488 33536 39680 40610 41920 47492 49024 50173 59365 61280 64976 81220 83840 94984 98048 100346 118730 122560 129952 162440 167680 189968 200692 237460 245120 250865 259904 324880 379936 401384 474920 490240 501730 519808 649760 759872 802768 949840 1003460 1039616 1299520 1519744 1555363 1605536 1899680 2006920 2599040 3039488 3110726 3211072 3799360 4013840 5198080 6221452 6422144 7598720 7776815 8027680 12442904 12844288 15197440 15553630 16055360 24885808 31107260 32110720 49771616 62214520 64221440 99543232 124429040 199086464 248858080 398172928 497716160 995432320 1990864640