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96590000 = 245413743
BaseRepresentation
bin1011100000111…
…01100010110000
320201202021120102
411300131202300
5144211340000
613330131532
72252000333
oct560354260
9221667512
1096590000
114a582551
1228420ba8
131701b660
14cb8461a
15872e3d5
hex5c1d8b0

96590000 has 100 divisors (see below), whose sum is σ = 252181776. Its totient is φ = 35616000.

The previous prime is 96589993. The next prime is 96590003. The reversal of 96590000 is 9569.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (96590003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129629 + ... + 130371.

Almost surely, 296590000 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 96590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126090888).

96590000 is an abundant number, since it is smaller than the sum of its proper divisors (155591776).

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

96590000 is a wasteful number, since it uses less digits than its factorization.

96590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 96590000 is about 9828.0211639984. The cubic root of 96590000 is about 458.8218116242.

Adding to 96590000 its reverse (9569), we get a palindrome (96599569).

The spelling of 96590000 in words is "ninety-six million, five hundred ninety thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 743 1000 1040 1250 1300 1486 1625 2000 2500 2600 2972 3250 3715 5000 5200 5944 6500 7430 8125 9659 10000 11888 13000 14860 16250 18575 19318 26000 29720 32500 37150 38636 48295 59440 65000 74300 77272 92875 96590 130000 148600 154544 185750 193180 241475 297200 371500 386360 464375 482950 743000 772720 928750 965900 1207375 1486000 1857500 1931800 2414750 3715000 3863600 4829500 6036875 7430000 9659000 12073750 19318000 24147500 48295000 96590000