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1989110640 = 2435113672053
BaseRepresentation
bin111011010001111…
…0110101101110000
312010121212021211110
41312203312231300
513033203020030
6525213313320
7100202106246
oct16643665560
95117767743
101989110640
1193088a2a0
12476195840
13259133a5a
1414c262796
15b99611b0
hex768f6b70

1989110640 has 160 divisors (see below), whose sum is σ = 6748425216. Its totient is φ = 480660480.

The previous prime is 1989110603. The next prime is 1989110659. The reversal of 1989110640 is 460119891.

It is a super-2 number, since 2×19891106402 = 7913122276322419200, which contains 22 as substring.

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, 967854 + ... + 969906.

Almost surely, 21989110640 is an apocalyptic number.

1989110640 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 1989110640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374212608).

1989110640 is an abundant number, since it is smaller than the sum of its proper divisors (4759314576).

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

1989110640 is a wasteful number, since it uses less digits than its factorization.

1989110640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 1989110640 is about 44599.4466333384. The cubic root of 1989110640 is about 1257.6302650066.

The spelling of 1989110640 in words is "one billion, nine hundred eighty-nine million, one hundred ten thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 367 440 528 660 734 880 1101 1320 1468 1835 2053 2202 2640 2936 3670 4037 4106 4404 5505 5872 6159 7340 8074 8212 8808 10265 11010 12111 12318 14680 16148 16424 17616 20185 20530 22020 22583 24222 24636 29360 30795 32296 32848 40370 41060 44040 45166 48444 49272 60555 61590 64592 67749 80740 82120 88080 90332 96888 98544 112915 121110 123180 135498 161480 164240 180664 193776 225830 242220 246360 270996 322960 338745 361328 451660 484440 492720 541992 677490 753451 903320 968880 1083984 1354980 1506902 1806640 2260353 2709960 3013804 3767255 4520706 5419920 6027608 7534510 8287961 9041412 11301765 12055216 15069020 16575922 18082824 22603530 24863883 30138040 33151844 36165648 41439805 45207060 49727766 60276080 66303688 82879610 90414120 99455532 124319415 132607376 165759220 180828240 198911064 248638830 331518440 397822128 497277660 663036880 994555320 1989110640