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997796070 = 23453179503
BaseRepresentation
bin111011011110010…
…010100011100110
32120112112021220000
4323132102203212
54020413433240
6243002122130
733504061305
oct7336224346
92515467800
10997796070
11472258a57
1223a1b0346
1312b947c9b
149673643c
155c8e8430
hex3b7928e6

997796070 has 160 divisors (see below), whose sum is σ = 2810142720. Its totient is φ = 253730880.

The previous prime is 997796053. The next prime is 997796089. The reversal of 997796070 is 70697799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 997795998 and 997796016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1983439 + ... + 1983941.

It is an arithmetic number, because the mean of its divisors is an integer number (17563392).

Almost surely, 2997796070 is an apocalyptic number.

997796070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 997796070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405071360).

997796070 is an abundant number, since it is smaller than the sum of its proper divisors (1812346650).

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

997796070 is a wasteful number, since it uses less digits than its factorization.

997796070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The square root of 997796070 is about 31587.9101872853. The cubic root of 997796070 is about 999.2648163041.

The spelling of 997796070 in words is "nine hundred ninety-seven million, seven hundred ninety-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 79 81 90 93 135 155 158 162 186 237 270 279 310 395 405 465 474 503 558 711 790 810 837 930 1006 1185 1395 1422 1509 1674 2133 2370 2449 2511 2515 2790 3018 3555 4185 4266 4527 4898 5022 5030 6399 7110 7347 7545 8370 9054 10665 12245 12555 12798 13581 14694 15090 15593 21330 22041 22635 24490 25110 27162 31186 31995 36735 39737 40743 44082 45270 46779 63990 66123 67905 73470 77965 79474 81486 93558 110205 119211 132246 135810 140337 155930 198369 198685 203715 220410 233895 238422 280674 330615 357633 396738 397370 407430 421011 467790 596055 661230 701685 715266 842022 991845 1072899 1192110 1231847 1263033 1403370 1788165 1983690 2105055 2145798 2463694 2526066 3218697 3576330 3695541 4210110 5364495 6159235 6315165 6437394 7391082 10728990 11086623 12318470 12630330 16093485 18477705 22173246 32186970 33259869 36955410 55433115 66519738 99779607 110866230 166299345 199559214 332598690 498898035 997796070