Search a number
-
+
399992040 = 233357157337
BaseRepresentation
bin10111110101110…
…110010011101000
31000212122200221000
4113311312103220
51304344221130
6103405115000
712624606360
oct2765662350
91025580830
10399992040
1119586aa38
12b1b58a60
1364b3aaa6
143b1a19a0
15251b1260
hex17d764e8

399992040 has 256 divisors, whose sum is σ = 1538035200. Its totient is φ = 90574848.

The previous prime is 399992027. The next prime is 399992071. The reversal of 399992040 is 40299993.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1186752 + ... + 1187088.

It is an arithmetic number, because the mean of its divisors is an integer number (6007950).

Almost surely, 2399992040 is an apocalyptic number.

399992040 is a gapful number since it is divisible by the number (30) 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 399992040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769017600).

399992040 is an abundant number, since it is smaller than the sum of its proper divisors (1138043160).

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

399992040 is a wasteful number, since it uses less digits than its factorization.

399992040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 399992040 is about 19999.8009990100. The cubic root of 399992040 is about 736.8014122139.

The spelling of 399992040 in words is "three hundred ninety-nine million, nine hundred ninety-two thousand, forty".