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10422720 = 2632571147
BaseRepresentation
bin100111110000…
…100111000000
3201121112021200
4213300213000
510132011340
61011221200
7154406640
oct47604700
921545250
1010422720
115979820
1235a7800
13220c0b9
141554520
15dad330
hex9f09c0

10422720 has 336 divisors, whose sum is σ = 45646848. Its totient is φ = 2119680.

The previous prime is 10422719. The next prime is 10422761. The reversal of 10422720 is 2722401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10422693 and 10422702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221737 + ... + 221783.

Almost surely, 210422720 is an apocalyptic number.

10422720 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 10422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424).

10422720 is an abundant number, since it is smaller than the sum of its proper divisors (35224128).

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

10422720 is a wasteful number, since it uses less digits than its factorization.

10422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10422720 is about 3228.4237640062. The cubic root of 10422720 is about 218.4374125820.

The spelling of 10422720 in words is "ten million, four hundred twenty-two thousand, seven hundred twenty".