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95140920 = 23357191593
BaseRepresentation
bin1011010101110…
…11110000111000
320122000122210210
411222323300320
5143324002140
613235111120
72233453530
oct552736070
9218018723
1095140920
1149782866
1227a424a0
1316931c04
14c8c84c0
158544d80
hex5abbc38

95140920 has 128 divisors (see below), whose sum is σ = 328458240. Its totient is φ = 21596160.

The previous prime is 95140879. The next prime is 95140937. The reversal of 95140920 is 2904159.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160144 + ... + 160736.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 295140920 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 95140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229120).

95140920 is an abundant number, since it is smaller than the sum of its proper divisors (233317320).

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

95140920 is a wasteful number, since it uses less digits than its factorization.

95140920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 95140920 is about 9754.0207094305. The cubic root of 95140920 is about 456.5157675961.

The spelling of 95140920 in words is "ninety-five million, one hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 191 210 280 382 420 573 593 764 840 955 1146 1186 1337 1528 1779 1910 2292 2372 2674 2865 2965 3558 3820 4011 4151 4584 4744 5348 5730 5930 6685 7116 7640 8022 8302 8895 10696 11460 11860 12453 13370 14232 16044 16604 17790 20055 20755 22920 23720 24906 26740 32088 33208 35580 40110 41510 49812 53480 62265 71160 80220 83020 99624 113263 124530 160440 166040 226526 249060 339789 453052 498120 566315 679578 792841 906104 1132630 1359156 1585682 1698945 2265260 2378523 2718312 3171364 3397890 3964205 4530520 4757046 6342728 6795780 7928410 9514092 11892615 13591560 15856820 19028184 23785230 31713640 47570460 95140920