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10195248 = 2437191597
BaseRepresentation
bin100110111001…
…000100110000
3201011222020210
4212321010300
510102221443
61002304120
7152441520
oct46710460
921158223
1010195248
115833928
1234b8040
13215c6bb
1414d5680
15d65c33
hex9b9130

10195248 has 80 divisors (see below), whose sum is σ = 31704320. Its totient is φ = 2757888.

The previous prime is 10195247. The next prime is 10195271. The reversal of 10195248 is 84259101.

It is a happy number.

It is a Cunningham number, because it is equal to 31932-1.

It is not an unprimeable number, because it can be changed into a prime (10195247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5586 + ... + 7182.

It is an arithmetic number, because the mean of its divisors is an integer number (396304).

Almost surely, 210195248 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 10195248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852160).

10195248 is an abundant number, since it is smaller than the sum of its proper divisors (21509072).

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

10195248 is a wasteful number, since it uses less digits than its factorization.

10195248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 10195248 is about 3192.9998434074. Note that the first 3 decimals coincide. The cubic root of 10195248 is about 216.8366046135.

The spelling of 10195248 in words is "ten million, one hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 1597 2128 3192 3194 4791 6384 6388 9582 11179 12776 19164 22358 25552 30343 33537 38328 44716 60686 67074 76656 89432 91029 121372 134148 178864 182058 212401 242744 268296 364116 424802 485488 536592 637203 728232 849604 1274406 1456464 1699208 2548812 3398416 5097624 10195248