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1997190144 = 21032375857
BaseRepresentation
bin111011100001010…
…1011010000000000
312011012001202211100
41313002223100000
513042240041034
6530102414400
7100330556535
oct16702532000
95135052740
101997190144
119353a8574
12478a31400
1325aa02421
1414d366d8c
15ba50a099
hex770ab400

1997190144 has 132 divisors (see below), whose sum is σ = 5923715044. Its totient is φ = 647626752.

The previous prime is 1997190131. The next prime is 1997190161. The reversal of 1997190144 is 4410917991.

It can be written as a sum of positive squares in 2 ways, for example, as 1841439744 + 155750400 = 42912^2 + 12480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1997190144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338064 + ... + 343920.

Almost surely, 21997190144 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 1997190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961857522).

1997190144 is an abundant number, since it is smaller than the sum of its proper divisors (3926524900).

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

1997190144 is a wasteful number, since it uses less digits than its factorization.

1997190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1997190144 is about 44689.9333631188. The cubic root of 1997190144 is about 1259.3307405742.

The spelling of 1997190144 in words is "one billion, nine hundred ninety-seven million, one hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2304 2368 2664 3072 3552 4608 4736 5328 5857 7104 9216 9472 10656 11714 14208 17571 18944 21312 23428 28416 35142 37888 42624 46856 52713 56832 70284 85248 93712 105426 113664 140568 170496 187424 210852 216709 281136 340992 374848 421704 433418 562272 650127 749696 843408 866836 1124544 1300254 1499392 1686816 1733672 1950381 2249088 2600508 2998784 3373632 3467344 3900762 4498176 5201016 5997568 6747264 6934688 7801524 8996352 10402032 13494528 13869376 15603048 17992704 20804064 26989056 27738752 31206096 41608128 53978112 55477504 62412192 83216256 110955008 124824384 166432512 221910016 249648768 332865024 499297536 665730048 998595072 1997190144