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4131960 = 233574919
BaseRepresentation
bin1111110000110001111000
321202220222120
433300301320
52024210320
6224321240
750056350
oct17606170
97686876
104131960
112372448
121473220
13b18961
14797b60
15569440
hex3f0c78

4131960 has 64 divisors (see below), whose sum is σ = 14169600. Its totient is φ = 944256.

The previous prime is 4131923. The next prime is 4131961. The reversal of 4131960 is 691314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4131960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620 + ... + 3299.

It is an arithmetic number, because the mean of its divisors is an integer number (221400).

Almost surely, 24131960 is an apocalyptic number.

4131960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131960 is an abundant number, since it is smaller than the sum of its proper divisors (10037640).

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

4131960 is a wasteful number, since it uses less digits than its factorization.

4131960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4131960 is about 2032.7223125651. The cubic root of 4131960 is about 160.4668655700.

The spelling of 4131960 in words is "four million, one hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4919 9838 14757 19676 24595 29514 34433 39352 49190 59028 68866 73785 98380 103299 118056 137732 147570 172165 196760 206598 275464 295140 344330 413196 516495 590280 688660 826392 1032990 1377320 2065980 4131960