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4040920 = 2351319409
BaseRepresentation
bin1111011010100011011000
321121022002201
433122203120
52013302140
6222335544
746230052
oct17324330
97538081
104040920
112310004
12142a5b4
13ab63a0
147728d2
1554c49a
hex3da8d8

4040920 has 64 divisors (see below), whose sum is σ = 10332000. Its totient is φ = 1410048.

The previous prime is 4040903. The next prime is 4040921. The reversal of 4040920 is 290404.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040921) 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, 9676 + ... + 10084.

Almost surely, 24040920 is an apocalyptic number.

4040920 is a gapful number since it is divisible by the number (40) 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 4040920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166000).

4040920 is an abundant number, since it is smaller than the sum of its proper divisors (6291080).

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

4040920 is a wasteful number, since it uses less digits than its factorization.

4040920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4040920 is about 2010.2039697503. The cubic root of 4040920 is about 159.2795735293.

The spelling of 4040920 in words is "four million, forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 409 494 520 760 818 988 1235 1636 1976 2045 2470 3272 4090 4940 5317 7771 8180 9880 10634 15542 16360 21268 26585 31084 38855 42536 53170 62168 77710 101023 106340 155420 202046 212680 310840 404092 505115 808184 1010230 2020460 4040920