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9945390 = 2357133643
BaseRepresentation
bin100101111100…
…000100101110
3200201021111210
4211330010232
510021223030
6553055250
7150351210
oct45740456
920637453
109945390
115683134
1233b7526
1320a2a60
14146c5b0
15d16bb0
hex97c12e

9945390 has 64 divisors (see below), whose sum is σ = 29385216. Its totient is φ = 2097792.

The previous prime is 9945359. The next prime is 9945409. The reversal of 9945390 is 935499.

It is a happy number.

9945390 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909 + ... + 4551.

It is an arithmetic number, because the mean of its divisors is an integer number (459144).

Almost surely, 29945390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9945390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692608).

9945390 is an abundant number, since it is smaller than the sum of its proper divisors (19439826).

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

9945390 is a wasteful number, since it uses less digits than its factorization.

9945390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673.

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 9945390 is about 3153.6312403323. The cubic root of 9945390 is about 215.0505740049.

The spelling of 9945390 in words is "nine million, nine hundred forty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 3643 7286 10929 18215 21858 25501 36430 47359 51002 54645 76503 94718 109290 127505 142077 153006 236795 255010 284154 331513 382515 473590 663026 710385 765030 994539 1420770 1657565 1989078 3315130 4972695 9945390