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96171920 = 245131931157
BaseRepresentation
bin1011011101101…
…11011110010000
320200222001001222
411232313132100
5144110000140
613313144212
72245306415
oct556673620
9220861058
1096171920
114a317429
122825b068
1316c03280
14cab610c
15869a5b5
hex5bb7790

96171920 has 160 divisors (see below), whose sum is σ = 263316480. Its totient is φ = 32348160.

The previous prime is 96171913. The next prime is 96171923. The reversal of 96171920 is 2917169.

It is not an unprimeable number, because it can be changed into a prime (96171923) 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, 612482 + ... + 612638.

It is an arithmetic number, because the mean of its divisors is an integer number (1645728).

Almost surely, 296171920 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 96171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131658240).

96171920 is an abundant number, since it is smaller than the sum of its proper divisors (167144560).

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

96171920 is a wasteful number, since it uses less digits than its factorization.

96171920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 96171920 is about 9806.7283025482. The cubic root of 96171920 is about 458.1588663423.

The spelling of 96171920 in words is "ninety-six million, one hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 31 38 40 52 62 65 76 80 95 104 124 130 152 155 157 190 208 247 248 260 304 310 314 380 403 494 496 520 589 620 628 760 785 806 988 1040 1178 1235 1240 1256 1520 1570 1612 1976 2015 2041 2356 2470 2480 2512 2945 2983 3140 3224 3952 4030 4082 4712 4867 4940 5890 5966 6280 6448 7657 8060 8164 9424 9734 9880 10205 11780 11932 12560 14915 15314 16120 16328 19468 19760 20410 23560 23864 24335 29830 30628 32240 32656 38285 38779 38936 40820 47120 47728 48670 59660 61256 63271 76570 77558 77872 81640 92473 97340 119320 122512 126542 153140 155116 163280 184946 193895 194680 238640 253084 306280 310232 316355 369892 387790 389360 462365 506168 612560 620464 632710 739784 775580 924730 1012336 1202149 1265420 1479568 1551160 1849460 2404298 2530840 3102320 3698920 4808596 5061680 6010745 7397840 9617192 12021490 19234384 24042980 48085960 96171920