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990477840 = 243511596359
BaseRepresentation
bin111011000010010…
…111111000010000
32120000202111011110
4323002113320100
54012030242330
6242141213320
733354631332
oct7302277020
92500674143
10990477840
1146910a730
12237861240
1312a284c81
149578d452
155be4edb0
hex3b097e10

990477840 has 160 divisors (see below), whose sum is σ = 3406924800. Its totient is φ = 236008960.

The previous prime is 990477821. The next prime is 990477881. The reversal of 990477840 is 48774099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 990477840.

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, 152581 + ... + 158939.

It is an arithmetic number, because the mean of its divisors is an integer number (21293280).

Almost surely, 2990477840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990477840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703462400).

990477840 is an abundant number, since it is smaller than the sum of its proper divisors (2416446960).

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

990477840 is a wasteful number, since it uses less digits than its factorization.

990477840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 990477840 is about 31471.8579051190. The cubic root of 990477840 is about 996.8158184158.

The spelling of 990477840 in words is "nine hundred ninety million, four hundred seventy-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 59 60 66 80 88 110 118 120 132 165 176 177 220 236 240 264 295 330 354 440 472 528 590 649 660 708 880 885 944 1180 1298 1320 1416 1770 1947 2360 2596 2640 2832 3245 3540 3894 4720 5192 6359 6490 7080 7788 9735 10384 12718 12980 14160 15576 19077 19470 25436 25960 31152 31795 38154 38940 50872 51920 63590 69949 76308 77880 95385 101744 127180 139898 152616 155760 190770 209847 254360 279796 305232 349745 375181 381540 419694 508720 559592 699490 750362 763080 839388 1049235 1119184 1125543 1398980 1500724 1526160 1678776 1875905 2098470 2251086 2797960 3001448 3357552 3751810 4126991 4196940 4502172 5595920 5627715 6002896 7503620 8253982 8393880 9004344 11255430 12380973 15007240 16507964 16787760 18008688 20634955 22510860 24761946 30014480 33015928 41269910 45021720 49523892 61904865 66031856 82539820 90043440 99047784 123809730 165079640 198095568 247619460 330159280 495238920 990477840