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997589190 = 2351337257269
BaseRepresentation
bin111011011101100…
…000000011000110
32120112010210002210
4323131200003012
54020340323230
6242553444250
733502240203
oct7335400306
92515123083
10997589190
11472127584
1223a110686
1312b8a4a80
14966c0caa
155c8a6eb0
hex3b7600c6

997589190 has 128 divisors (see below), whose sum is σ = 2668256640. Its totient is φ = 237109248.

The previous prime is 997589179. The next prime is 997589213. The reversal of 997589190 is 91985799.

It is a super-2 number, since 2×9975891902 = 1990368384009712200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 997589190.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3708376 + ... + 3708644.

It is an arithmetic number, because the mean of its divisors is an integer number (20845755).

Almost surely, 2997589190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997589190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334128320).

997589190 is an abundant number, since it is smaller than the sum of its proper divisors (1670667450).

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

997589190 is a wasteful number, since it uses less digits than its factorization.

997589190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 1837080, while the sum is 57.

The square root of 997589190 is about 31584.6353469531. The cubic root of 997589190 is about 999.1957500220.

The spelling of 997589190 in words is "nine hundred ninety-seven million, five hundred eighty-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 257 269 370 390 481 514 538 555 771 807 962 1110 1285 1345 1443 1542 1614 2405 2570 2690 2886 3341 3497 3855 4035 4810 6682 6994 7215 7710 8070 9509 9953 10023 10491 14430 16705 17485 19018 19906 20046 20982 28527 29859 33410 34970 47545 49765 50115 52455 57054 59718 69133 95090 99530 100230 104910 123617 129389 138266 142635 149295 207399 247234 258778 285270 298590 345665 370851 388167 414798 618085 646945 691330 741702 776334 898729 1036995 1236170 1293890 1797458 1854255 1940835 2073990 2557921 2696187 3708510 3881670 4493645 5115842 5392374 7673763 8987290 12789605 13480935 15347526 25579210 26961870 33252973 38368815 66505946 76737630 99758919 166264865 199517838 332529730 498794595 997589190