Search a number
-
+
10292316 = 2232389419
BaseRepresentation
bin100111010000…
…110001011100
3201100220101220
4213100301130
510113323231
61004333340
7153324516
oct47206134
921326356
1010292316
11589a851
123544250
132194938
14151cbb6
15d84896
hex9d0c5c

10292316 has 48 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 3236992.

The previous prime is 10292299. The next prime is 10292323. The reversal of 10292316 is 61329201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24355 + ... + 24773.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 210292316 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 10292316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

10292316 is an abundant number, since it is smaller than the sum of its proper divisors (15109284).

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

10292316 is a wasteful number, since it uses less digits than its factorization.

10292316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10292316 is about 3208.1639608973. The cubic root of 10292316 is about 217.5225924477.

The spelling of 10292316 in words is "ten million, two hundred ninety-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 89 92 138 178 267 276 356 419 534 838 1068 1257 1676 2047 2514 4094 5028 6141 8188 9637 12282 19274 24564 28911 37291 38548 57822 74582 111873 115644 149164 223746 447492 857693 1715386 2573079 3430772 5146158 10292316