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999970000 = 2454192277
BaseRepresentation
bin111011100110100…
…101010011010000
32120200121201221221
4323212211103100
54021443020000
6243120454424
733531414301
oct7346452320
92520551857
10999970000
11473503297
1223aa7a414
1312c229633
1496b407a8
155cbc761a
hex3b9a54d0

999970000 has 150 divisors (see below), whose sum is σ = 2564380698. Its totient is φ = 377568000.

The previous prime is 999969991. The next prime is 999970003. The reversal of 999970000 is 79999.

999970000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 569490496 + 430479504 = 23864^2 + 20748^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999970003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3609862 + ... + 3610138.

Almost surely, 2999970000 is an apocalyptic number.

999970000 is the 20000-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282190349).

999970000 is an abundant number, since it is smaller than the sum of its proper divisors (1564410698).

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

999970000 is a wasteful number, since it uses less digits than its factorization.

999970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 45927, while the sum is 43.

The square root of 999970000 is about 31622.3022564772. The cubic root of 999970000 is about 999.9899999000.

The spelling of 999970000 in words is "nine hundred ninety-nine million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 277 304 361 380 400 475 500 554 625 722 760 950 1000 1108 1250 1385 1444 1520 1805 1900 2000 2216 2375 2500 2770 2888 3610 3800 4432 4750 5000 5263 5540 5776 6925 7220 7600 9025 9500 10000 10526 11080 11875 13850 14440 18050 19000 21052 22160 23750 26315 27700 28880 34625 36100 38000 42104 45125 47500 52630 55400 69250 72200 84208 90250 95000 99997 105260 110800 131575 138500 144400 173125 180500 190000 199994 210520 225625 263150 277000 346250 361000 399988 421040 451250 499985 526300 554000 657875 692500 722000 799976 902500 999970 1052600 1315750 1385000 1599952 1805000 1999940 2105200 2499925 2631500 2770000 3289375 3610000 3999880 4999850 5263000 6578750 7999760 9999700 10526000 12499625 13157500 19999400 24999250 26315000 39998800 49998500 52630000 62498125 99997000 124996250 199994000 249992500 499985000 999970000