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10145940 = 2235731729
BaseRepresentation
bin100110101101…
…000010010100
3201002110121120
4212231002110
510044132230
61001243540
7152145000
oct46550224
921073546
1010145940
1157aa882
1234935b0
13214311c
1414c1700
15d56310
hex9ad094

10145940 has 192 divisors, whose sum is σ = 36288000. Its totient is φ = 2107392.

The previous prime is 10145939. The next prime is 10145977. The reversal of 10145940 is 4954101.

It is a self number, because there is not a number n which added to its sum of digits gives 10145940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349846 + ... + 349874.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 210145940 is an apocalyptic number.

10145940 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 10145940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

10145940 is an abundant number, since it is smaller than the sum of its proper divisors (26142060).

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

10145940 is a wasteful number, since it uses less digits than its factorization.

10145940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10145940 is about 3185.2692193910. The cubic root of 10145940 is about 216.4864721389.

The spelling of 10145940 in words is "ten million, one hundred forty-five thousand, nine hundred forty".