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997795620 = 2232517219181
BaseRepresentation
bin111011011110010…
…010011100100100
32120112112021021100
4323132102130210
54020413424440
6243002120100
733504060063
oct7336223444
92515467240
10997795620
11472258688
1223a1b0030
1312b947a13
14967361da
155c8e8230
hex3b792724

997795620 has 108 divisors (see below), whose sum is σ = 3215325204. Its totient is φ = 250414080.

The previous prime is 997795597. The next prime is 997795657. The reversal of 997795620 is 26597799.

997795620 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 9 + 5 + 620 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 124947684 + 872847936 = 11178^2 + 29544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42430 + ... + 61610.

Almost surely, 2997795620 is an apocalyptic number.

997795620 is a gapful number since it is divisible by the number (90) 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 997795620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607662602).

997795620 is an abundant number, since it is smaller than the sum of its proper divisors (2217529584).

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

997795620 is a wasteful number, since it uses less digits than its factorization.

997795620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19230 (or 19208 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 997795620 is about 31587.9030643061. The cubic root of 997795620 is about 999.2646660832.

The spelling of 997795620 in words is "nine hundred ninety-seven million, seven hundred ninety-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 19181 26010 38362 52020 57543 76724 95905 115086 172629 191810 230172 287715 326077 345258 383620 575430 652154 690516 863145 978231 1150860 1304308 1630385 1726290 1956462 2934693 3260770 3452580 3912924 4891155 5543309 5869386 6521540 9782310 11086618 11738772 14673465 16629927 19564620 22173236 27716545 29346930 33259854 49889781 55433090 58693860 66519708 83149635 99779562 110866180 166299270 199559124 249448905 332598540 498897810 997795620