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1988628960 = 253522718251
BaseRepresentation
bin111011010001000…
…0001000111100000
312010120221211002110
41312202001013200
513033042111320
6525155115320
7100165032033
oct16642010740
95116854073
101988628960
1193059040a
12475ba2b40
13258cc5736
1414c17901a
15b98b85e0
hex768811e0

1988628960 has 96 divisors (see below), whose sum is σ = 6292121472. Its totient is φ = 527936000.

The previous prime is 1988628883. The next prime is 1988629003. The reversal of 1988628960 is 698268891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1988628960.

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, 99835 + ... + 118085.

It is an arithmetic number, because the mean of its divisors is an integer number (65542932).

Almost surely, 21988628960 is an apocalyptic number.

1988628960 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 1988628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146060736).

1988628960 is an abundant number, since it is smaller than the sum of its proper divisors (4303492512).

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

1988628960 is a wasteful number, since it uses less digits than its factorization.

1988628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18496 (or 18488 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 1988628960 is about 44594.0462393804. The cubic root of 1988628960 is about 1257.5287415354.

The spelling of 1988628960 in words is "one billion, nine hundred eighty-eight million, six hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 227 240 454 480 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 7264 9080 10896 13620 18160 18251 21792 27240 36320 36502 54480 54753 73004 91255 108960 109506 146008 182510 219012 273765 292016 365020 438024 547530 584032 730040 876048 1095060 1460080 1752096 2190120 2920160 4142977 4380240 8285954 8760480 12428931 16571908 20714885 24857862 33143816 41429770 49715724 62144655 66287632 82859540 99431448 124289310 132575264 165719080 198862896 248578620 331438160 397725792 497157240 662876320 994314480 1988628960