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96941000 = 2353137457
BaseRepresentation
bin1011100011100…
…11001111001000
320202102010001102
411301303033020
5144304103000
613341440532
72254661552
oct561631710
9222363042
1096941000
114a7a2232
1228570148
1317112350
14cc364d2
15879d3d5
hex5c733c8

96941000 has 64 divisors (see below), whose sum is σ = 244324080. Its totient is φ = 35788800.

The previous prime is 96940993. The next prime is 96941023. The reversal of 96941000 is 14969.

It can be written as a sum of positive squares in 8 ways, for example, as 1331716 + 95609284 = 1154^2 + 9778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9272 + ... + 16728.

Almost surely, 296941000 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 96941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122162040).

96941000 is an abundant number, since it is smaller than the sum of its proper divisors (147383080).

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

96941000 is a wasteful number, since it uses less digits than its factorization.

96941000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 96941000 is about 9845.8620750039. The cubic root of 96941000 is about 459.3769131609.

Adding to 96941000 its reverse (14969), we get a palindrome (96955969).

The spelling of 96941000 in words is "ninety-six million, nine hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 7457 13000 14914 29828 37285 59656 74570 96941 149140 186425 193882 298280 372850 387764 484705 745700 775528 932125 969410 1491400 1864250 1938820 2423525 3728500 3877640 4847050 7457000 9694100 12117625 19388200 24235250 48470500 96941000