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95142000 = 24353101157
BaseRepresentation
bin1011010101111…
…00000001110000
320122000201021210
411222330001300
5143324021000
613235120120
72233456632
oct552740160
9218021253
1095142000
1149783658
1227a43040
1316932555
14c8c8a52
158545350
hex5abc070

95142000 has 160 divisors (see below), whose sum is σ = 311747904. Its totient is φ = 24960000.

The previous prime is 95141983. The next prime is 95142001. The reversal of 95142000 is 24159.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95142001) 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, 605922 + ... + 606078.

Almost surely, 295142000 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 95142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155873952).

95142000 is an abundant number, since it is smaller than the sum of its proper divisors (216605904).

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

95142000 is a wasteful number, since it uses less digits than its factorization.

95142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 95142000 is about 9754.0760710587. The cubic root of 95142000 is about 456.5174949817.

Adding to 95142000 its reverse (24159), we get a palindrome (95166159).

The spelling of 95142000 in words is "ninety-five million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 125 150 157 200 202 240 250 300 303 314 375 400 404 471 500 505 600 606 628 750 785 808 942 1000 1010 1200 1212 1256 1500 1515 1570 1616 1884 2000 2020 2355 2424 2512 2525 3000 3030 3140 3768 3925 4040 4710 4848 5050 6000 6060 6280 7536 7575 7850 8080 9420 10100 11775 12120 12560 12625 15150 15700 15857 18840 19625 20200 23550 24240 25250 30300 31400 31714 37680 37875 39250 40400 47100 47571 50500 58875 60600 62800 63428 75750 78500 79285 94200 95142 101000 117750 121200 126856 151500 157000 158570 188400 190284 202000 235500 237855 253712 303000 314000 317140 380568 396425 471000 475710 606000 634280 761136 792850 942000 951420 1189275 1268560 1585700 1902840 1982125 2378550 3171400 3805680 3964250 4757100 5946375 6342800 7928500 9514200 11892750 15857000 19028400 23785500 31714000 47571000 95142000