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4937940 = 2232573919
BaseRepresentation
bin10010110101100011010100
3100021212120200
4102311203110
52231003230
6253500500
756654220
oct22654324
910255520
104937940
112872a47
1217a1730
13103b777
14927780
15678160
hex4b58d4

4937940 has 72 divisors (see below), whose sum is σ = 17122560. Its totient is φ = 1128384.

The previous prime is 4937921. The next prime is 4937941. The reversal of 4937940 is 497394.

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

It is a junction number, because it is equal to n+sod(n) for n = 4937895 and 4937904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4937941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700 + ... + 3219.

Almost surely, 24937940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4937940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561280).

4937940 is an abundant number, since it is smaller than the sum of its proper divisors (12184620).

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

4937940 is a wasteful number, since it uses less digits than its factorization.

4937940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4937940 is about 2222.1476098585. The cubic root of 4937940 is about 170.2871732111.

The spelling of 4937940 in words is "four million, nine hundred thirty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3919 7838 11757 15676 19595 23514 27433 35271 39190 47028 54866 58785 70542 78380 82299 109732 117570 137165 141084 164598 176355 235140 246897 274330 329196 352710 411495 493794 548660 705420 822990 987588 1234485 1645980 2468970 4937940