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10426416 = 24372111331
BaseRepresentation
bin100111110001…
…100000110000
3201121201100120
4213301200300
510132121131
61011250240
7154423500
oct47614060
921551316
1010426416
115981580
1235a9980
1322109a0
141555a00
15dae496
hex9f1830

10426416 has 240 divisors, whose sum is σ = 37997568. Its totient is φ = 2419200.

The previous prime is 10426391. The next prime is 10426417. The reversal of 10426416 is 61462401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336321 + ... + 336351.

Almost surely, 210426416 is an apocalyptic number.

10426416 is a gapful number since it is divisible by the number (16) 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 10426416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

10426416 is an abundant number, since it is smaller than the sum of its proper divisors (27571152).

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

10426416 is a wasteful number, since it uses less digits than its factorization.

10426416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10426416 is about 3228.9961288301. The cubic root of 10426416 is about 218.4632295557.

10426416 divided by its sum of digits (24) gives a palindrome (434434).

Adding to 10426416 its reverse (61462401), we get a palindrome (71888817).

It can be divided in two parts, 10 and 426416, that added together give a triangular number (426426 = T923).

The spelling of 10426416 in words is "ten million, four hundred twenty-six thousand, four hundred sixteen".