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997435780 = 22511193661
BaseRepresentation
bin111011011100111…
…010100110000100
32120111211222122221
4323130322212010
54020320421110
6242550302124
733501031015
oct7334724604
92514758587
10997435780
114720322a0
1223a057944
1312b84ccb3
149668100c
155c8767da
hex3b73a984

997435780 has 96 divisors (see below), whose sum is σ = 2415611520. Its totient is φ = 343094400.

The previous prime is 997435763. The next prime is 997435787. The reversal of 997435780 is 87534799.

It is not an unprimeable number, because it can be changed into a prime (997435787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1508650 + ... + 1509310.

It is an arithmetic number, because the mean of its divisors is an integer number (25162620).

Almost surely, 2997435780 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 997435780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207805760).

997435780 is an abundant number, since it is smaller than the sum of its proper divisors (1418175740).

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

997435780 is a wasteful number, since it uses less digits than its factorization.

997435780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The square root of 997435780 is about 31582.2066993426. The cubic root of 997435780 is about 999.1445283770.

It can be divided in two parts, 9974 and 35780, that added together give a palindrome (45754).

The spelling of 997435780 in words is "nine hundred ninety-seven million, four hundred thirty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 661 722 836 1045 1322 1444 1805 2090 2644 3305 3610 3971 4180 6610 6859 7220 7271 7942 12559 13220 13718 14542 15884 19855 25118 27436 29084 34295 36355 39710 50236 62795 68590 72710 75449 79420 125590 137180 138149 145420 150898 238621 251180 276298 301796 377245 477242 552596 690745 754490 954484 1193105 1381490 1508980 2386210 2624831 2762980 4533799 4772420 5249662 9067598 10499324 13124155 18135196 22668995 26248310 45337990 49871789 52496620 90675980 99743578 199487156 249358945 498717890 997435780