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407068998 = 237293110781
BaseRepresentation
bin11000010000110…
…110000101000110
31001100222020200120
4120100312011012
51313202201443
6104220522410
713042013040
oct3020660506
91040866616
10407068998
11199863a66
12b43b0406
136644803b
143c0c4a90
1525b0d083
hex18436146

407068998 has 64 divisors (see below), whose sum is σ = 993669120. Its totient is φ = 108662400.

The previous prime is 407068997. The next prime is 407068999. The reversal of 407068998 is 899860704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (407068997) and next prime (407068999).

It is a self number, because there is not a number n which added to its sum of digits gives 407068998.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407068997) 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 31 ways as a sum of consecutive naturals, for example, 32368 + ... + 43148.

It is an arithmetic number, because the mean of its divisors is an integer number (15526080).

Almost surely, 2407068998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407068998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496834560).

407068998 is an abundant number, since it is smaller than the sum of its proper divisors (586600122).

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

407068998 is a wasteful number, since it uses less digits than its factorization.

407068998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853.

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 407068998 is about 20175.9509813045. The cubic root of 407068998 is about 741.1213811477.

The spelling of 407068998 in words is "four hundred seven million, sixty-eight thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 87 93 174 186 203 217 406 434 609 651 899 1218 1302 1798 2697 5394 6293 10781 12586 18879 21562 32343 37758 64686 75467 150934 226401 312649 334211 452802 625298 668422 937947 1002633 1875894 2005266 2188543 2339477 4377086 4678954 6565629 7018431 9692119 13131258 14036862 19384238 29076357 58152714 67844833 135689666 203534499 407068998