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1928420220 = 2235137379619
BaseRepresentation
bin111001011110001…
…0101101101111100
311222101122220020010
41302330111231330
512422133421340
6515204423220
765534205246
oct16274255574
94871586203
101928420220
118aa5a7721
124599a7b10
132496a476c
14144185096
15b4473b80
hex72f15b7c

1928420220 has 96 divisors (see below), whose sum is σ = 5462150400. Its totient is φ = 508322304.

The previous prime is 1928420209. The next prime is 1928420239. The reversal of 1928420220 is 220248291.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115071 + ... + 3115689.

It is an arithmetic number, because the mean of its divisors is an integer number (56897400).

Almost surely, 21928420220 is an apocalyptic number.

1928420220 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 1928420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731075200).

1928420220 is an abundant number, since it is smaller than the sum of its proper divisors (3533730180).

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

1928420220 is a wasteful number, since it uses less digits than its factorization.

1928420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1928420220 is about 43913.7816636190. The cubic root of 1928420220 is about 1244.7072681550.

The spelling of 1928420220 in words is "one billion, nine hundred twenty-eight million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 379 411 548 619 685 758 822 1137 1238 1370 1516 1644 1857 1895 2055 2274 2476 2740 3095 3714 3790 4110 4548 5685 6190 7428 7580 8220 9285 11370 12380 18570 22740 37140 51923 84803 103846 155769 169606 207692 234601 254409 259615 311538 339212 424015 469202 508818 519230 623076 703803 778845 848030 938404 1017636 1038460 1173005 1272045 1407606 1557690 1696060 2346010 2544090 2815212 3115380 3519015 4692020 5088180 7038030 14076060 32140337 64280674 96421011 128561348 160701685 192842022 321403370 385684044 482105055 642806740 964210110 1928420220