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3960495 = 345711127
BaseRepresentation
bin1111000110111010101111
321110012210000
433012322233
52003213440
6220515343
745443430
oct17067257
97405700
103960495
112265640
1213abb53
13a888b6
14751487
15533730
hex3c6eaf

3960495 has 80 divisors (see below), whose sum is σ = 8921088. Its totient is φ = 1632960.

The previous prime is 3960457. The next prime is 3960497. The reversal of 3960495 is 5940693.

It is not a de Polignac number, because 3960495 - 26 = 3960431 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

3960495 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960497) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31122 + ... + 31248.

Almost surely, 23960495 is an apocalyptic number.

3960495 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3960495 is an abundant number, since it is smaller than the sum of its proper divisors (4960593).

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

3960495 is a wasteful number, since it uses less digits than its factorization.

3960495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3960495 is about 1990.0992437565. The cubic root of 3960495 is about 158.2157896446.

The spelling of 3960495 in words is "three million, nine hundred sixty thousand, four hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 127 135 165 189 231 297 315 381 385 405 495 567 635 693 889 891 945 1143 1155 1397 1485 1905 2079 2667 2835 3429 3465 4191 4445 4455 5715 6237 6985 8001 9779 10287 10395 12573 13335 17145 20955 24003 29337 31185 37719 40005 48895 51435 62865 72009 88011 113157 120015 146685 188595 264033 360045 440055 565785 792099 1320165 3960495