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1980973056 = 214341983
BaseRepresentation
bin111011000010011…
…0100000000000000
312010001112212011110
41312010310000000
513024112114211
6524323043320
7100042664436
oct16604640000
95101485143
101980973056
11927231417
12473510540
13257544b0a
1414b144d56
15b8da4ea6
hex76134000

1980973056 has 120 divisors (see below), whose sum is σ = 5416778304. Its totient is φ = 643563520.

The previous prime is 1980973039. The next prime is 1980973153. The reversal of 1980973056 is 6503790891.

It is a super-3 number, since 3×19809730563 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1980972996 and 1980973014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2014741 + ... + 2015723.

Almost surely, 21980973056 is an apocalyptic number.

1980973056 is a gapful number since it is divisible by the number (16) 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 1980973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708389152).

1980973056 is an abundant number, since it is smaller than the sum of its proper divisors (3435805248).

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

1980973056 is an frugal number, since it uses more digits than its factorization.

1980973056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 1980973056 is about 44508.1234832474. The cubic root of 1980973056 is about 1255.9129045588.

The spelling of 1980973056 in words is "one billion, nine hundred eighty million, nine hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 983 984 1024 1312 1536 1966 1968 2048 2624 2949 3072 3932 3936 4096 5248 5898 6144 7864 7872 8192 10496 11796 12288 15728 15744 16384 20992 23592 24576 31456 31488 40303 41984 47184 49152 62912 62976 80606 83968 94368 120909 125824 125952 161212 167936 188736 241818 251648 251904 322424 335872 377472 483636 503296 503808 644848 671744 754944 967272 1006592 1007616 1289696 1509888 1934544 2013184 2015232 2579392 3019776 3869088 4026368 5158784 6039552 7738176 8052736 10317568 12079104 15476352 16105472 20635136 24158208 30952704 41270272 48316416 61905408 82540544 123810816 165081088 247621632 330162176 495243264 660324352 990486528 1980973056