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1980974640 = 243517539161
BaseRepresentation
bin111011000010011…
…0100011000110000
312010001112221100010
41312010310120300
513024112142030
6524323054520
7100043002161
oct16604643060
95101487303
101980974640
11927232627
12473511440
13257545758
1414b145768
15b8da56b0
hex76134630

1980974640 has 160 divisors (see below), whose sum is σ = 6625665216. Its totient is φ = 487751680.

The previous prime is 1980974627. The next prime is 1980974687. The reversal of 1980974640 is 464790891.

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 1980974640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211660 + ... + 220820.

Almost surely, 21980974640 is an apocalyptic number.

1980974640 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 1980974640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312832608).

1980974640 is an abundant number, since it is smaller than the sum of its proper divisors (4644690576).

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

1980974640 is a wasteful number, since it uses less digits than its factorization.

1980974640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1980974640 is about 44508.1412777483. The cubic root of 1980974640 is about 1255.9132393043.

It can be divided in two parts, 19809 and 74640, that added together give a palindrome (94449).

The spelling of 1980974640 in words is "one billion, nine hundred eighty million, nine hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 53 60 68 80 85 102 106 120 136 159 170 204 212 240 255 265 272 318 340 408 424 510 530 636 680 795 816 848 901 1020 1060 1272 1360 1590 1802 2040 2120 2544 2703 3180 3604 4080 4240 4505 5406 6360 7208 9010 9161 10812 12720 13515 14416 18020 18322 21624 27030 27483 36040 36644 43248 45805 54060 54966 72080 73288 91610 108120 109932 137415 146576 155737 183220 216240 219864 274830 311474 366440 439728 467211 485533 549660 622948 732880 778685 934422 971066 1099320 1245896 1456599 1557370 1868844 1942132 2198640 2336055 2427665 2491792 2913198 3114740 3737688 3884264 4672110 4855330 5826396 6229480 7282995 7475376 7768528 8254061 9344220 9710660 11652792 12458960 14565990 16508122 18688440 19421320 23305584 24762183 29131980 33016244 37376880 38842640 41270305 49524366 58263960 66032488 82540610 99048732 116527920 123810915 132064976 165081220 198097464 247621830 330162440 396194928 495243660 660324880 990487320 1980974640