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99997380 = 223257194177
BaseRepresentation
bin1011111010111…
…01011011000100
320222011101121200
411331131123010
5201044404010
613531142500
72322651360
oct575353304
9228141550
1099997380
115149a56a
12295a4a30
1317942562
14d3d02a0
158ba3cc0
hex5f5d6c4

99997380 has 144 divisors (see below), whose sum is σ = 364990080. Its totient is φ = 21648384.

The previous prime is 99997369. The next prime is 99997393. The reversal of 99997380 is 8379999.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21852 + ... + 26028.

Almost surely, 299997380 is an apocalyptic number.

99997380 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 99997380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182495040).

99997380 is an abundant number, since it is smaller than the sum of its proper divisors (264992700).

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

99997380 is a wasteful number, since it uses less digits than its factorization.

99997380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 99997380 is about 9999.8689991419. The cubic root of 99997380 is about 464.1548296716.

The spelling of 99997380 in words is "ninety-nine million, nine hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4177 4788 5985 7980 8354 11970 12531 16708 20885 23940 25062 29239 37593 41770 50124 58478 62655 75186 79363 83540 87717 116956 125310 146195 150372 158726 175434 187965 238089 250620 263151 292390 317452 350868 375930 396815 438585 476178 526302 555541 584780 714267 751860 793630 877170 952356 1052604 1111082 1190445 1315755 1428534 1587260 1666623 1754340 2222164 2380890 2631510 2777705 2857068 3333246 3571335 4761780 4999869 5263020 5555410 6666492 7142670 8333115 9999738 11110820 14285340 16666230 19999476 24999345 33332460 49998690 99997380