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95982680 = 23517219223
BaseRepresentation
bin1011011100010…
…01010001011000
320200121102111002
411232021101120
5144032421210
613305124132
72243560613
oct556112130
9220542432
1095982680
114a1a8232
1228189648
1316b680b1
14ca6717a
15865e4a5
hex5b89458

95982680 has 144 divisors (see below), whose sum is σ = 252648720. Its totient is φ = 32744448.

The previous prime is 95982641. The next prime is 95982683. The reversal of 95982680 is 8628959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95982683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4173149 + ... + 4173171.

It is an arithmetic number, because the mean of its divisors is an integer number (1754505).

Almost surely, 295982680 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 95982680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126324360).

95982680 is an abundant number, since it is smaller than the sum of its proper divisors (156666040).

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

95982680 is a wasteful number, since it uses less digits than its factorization.

95982680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 95982680 is about 9797.0750737146. The cubic root of 95982680 is about 457.8581586281.

The spelling of 95982680 in words is "ninety-five million, nine hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 19 20 23 34 38 40 46 68 76 85 92 95 115 136 152 170 184 190 230 289 323 340 361 380 391 437 460 578 646 680 722 760 782 874 920 1156 1292 1444 1445 1564 1615 1748 1805 1955 2185 2312 2584 2888 2890 3128 3230 3496 3610 3910 4370 5491 5780 6137 6460 6647 7220 7429 7820 8303 8740 10982 11560 12274 12920 13294 14440 14858 15640 16606 17480 21964 24548 26588 27455 29716 30685 33212 33235 37145 41515 43928 49096 53176 54910 59432 61370 66424 66470 74290 83030 104329 109820 122740 126293 132940 141151 148580 166060 208658 219640 245480 252586 265880 282302 297160 332120 417316 505172 521645 564604 631465 705755 834632 1010344 1043290 1129208 1262930 1411510 2086580 2399567 2525860 2823020 4173160 4799134 5051720 5646040 9598268 11997835 19196536 23995670 47991340 95982680