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3960396 = 22321173137
BaseRepresentation
bin1111000110111001001100
321110012122100
433012321030
52003213041
6220515100
745443226
oct17067114
97405570
103960396
112265560
1213aba90
13a8883b
14751416
155336b6
hex3c6e4c

3960396 has 72 divisors (see below), whose sum is σ = 11151504. Its totient is φ = 1175040.

The previous prime is 3960377. The next prime is 3960401. The reversal of 3960396 is 6930693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3960396.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28840 + ... + 28976.

It is an arithmetic number, because the mean of its divisors is an integer number (154882).

Almost surely, 23960396 is an apocalyptic number.

3960396 is a gapful number since it is divisible by the number (36) 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 3960396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575752).

3960396 is an abundant number, since it is smaller than the sum of its proper divisors (7191108).

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

3960396 is a wasteful number, since it uses less digits than its factorization.

3960396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3960396 is about 1990.0743704696. The cubic root of 3960396 is about 158.2144713335.

3960396 divided by its sum of digits (36) gives a palindrome (110011).

It can be divided in two parts, 3960 and 396, that added together give a square (4356 = 662).

The spelling of 3960396 in words is "three million, nine hundred sixty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 137 146 198 219 274 292 396 411 438 548 657 803 822 876 1233 1314 1507 1606 1644 2409 2466 2628 3014 3212 4521 4818 4932 6028 7227 9042 9636 10001 13563 14454 18084 20002 27126 28908 30003 40004 54252 60006 90009 110011 120012 180018 220022 330033 360036 440044 660066 990099 1320132 1980198 3960396