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10199320 = 2351753283
BaseRepresentation
bin100110111010…
…000100011000
3201012011211121
4212322010120
510102334240
61002335024
7152456425
oct46720430
921164747
1010199320
11583699a
1234ba474
132161501
1414d6d4c
15d6704a
hex9ba118

10199320 has 64 divisors (see below), whose sum is σ = 24844320. Its totient is φ = 3753984.

The previous prime is 10199317. The next prime is 10199323. The reversal of 10199320 is 2399101.

It is an interprime number because it is at equal distance from previous prime (10199317) and next prime (10199323).

It is a super-2 number, since 2×101993202 = 208052256924800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10199323) 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, 35899 + ... + 36181.

Almost surely, 210199320 is an apocalyptic number.

10199320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10199320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422160).

10199320 is an abundant number, since it is smaller than the sum of its proper divisors (14645000).

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

10199320 is a wasteful number, since it uses less digits than its factorization.

10199320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 10199320 is about 3193.6374246304. The cubic root of 10199320 is about 216.8654690782.

The spelling of 10199320 in words is "ten million, one hundred ninety-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 283 340 424 530 566 680 901 1060 1132 1415 1802 2120 2264 2830 3604 4505 4811 5660 7208 9010 9622 11320 14999 18020 19244 24055 29998 36040 38488 48110 59996 74995 96220 119992 149990 192440 254983 299980 509966 599960 1019932 1274915 2039864 2549830 5099660 10199320