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995473960 = 235135971457
BaseRepresentation
bin111011010101011…
…011101000101000
32120101011022112221
4323111123220220
54014320131320
6242440243424
733445250305
oct7325335050
92511138487
10995473960
11470a12358
12239470574
1312b314060
14962d00ac
155c5da3aa
hex3b55ba28

995473960 has 128 divisors (see below), whose sum is σ = 2492985600. Its totient is φ = 355461120.

The previous prime is 995473949. The next prime is 995473961. The reversal of 995473960 is 69374599.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 995473898 and 995473907.

It is not an unprimeable number, because it can be changed into a prime (995473961) 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, 2178052 + ... + 2178508.

It is an arithmetic number, because the mean of its divisors is an integer number (19476450).

Almost surely, 2995473960 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 995473960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246492800).

995473960 is an abundant number, since it is smaller than the sum of its proper divisors (1497511640).

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

995473960 is a wasteful number, since it uses less digits than its factorization.

995473960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 52.

The square root of 995473960 is about 31551.1324677895. The cubic root of 995473960 is about 998.4890381441.

The spelling of 995473960 in words is "nine hundred ninety-five million, four hundred seventy-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 71 104 118 130 142 236 260 284 295 355 457 472 520 568 590 710 767 914 923 1180 1420 1534 1828 1846 2285 2360 2840 3068 3656 3692 3835 4189 4570 4615 5941 6136 7384 7670 8378 9140 9230 11882 15340 16756 18280 18460 20945 23764 26963 29705 30680 32447 33512 36920 41890 47528 53926 54457 59410 64894 83780 107852 108914 118820 129788 134815 162235 167560 215704 217828 237640 259576 269630 272285 324470 350519 421811 435656 539260 544570 648940 701038 843622 1078520 1089140 1297880 1402076 1687244 1752595 1914373 2109055 2178280 2804152 3374488 3505190 3828746 4218110 7010380 7657492 8436220 9571865 14020760 15314984 16872440 19143730 24886849 38287460 49773698 76574920 99547396 124434245 199094792 248868490 497736980 995473960