Search a number
-
+
400260006 = 232373439
BaseRepresentation
bin10111110110110…
…111101110100110
31000220011022111200
4113312313232212
51304431310011
6103414543330
712630103536
oct2766675646
91026138450
10400260006
11195a332a3
12b2067b46
1364c02a53
143b2314c6
1525215856
hex17db7ba6

400260006 has 48 divisors (see below), whose sum is σ = 893349600. Its totient is φ = 129518352.

The previous prime is 400259987. The next prime is 400260067. The reversal of 400260006 is 600062004.

400260006 is a `hidden beast` number, since 400 + 260 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911535 + ... + 911973.

It is an arithmetic number, because the mean of its divisors is an integer number (18611450).

Almost surely, 2400260006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400260006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446674800).

400260006 is an abundant number, since it is smaller than the sum of its proper divisors (493089594).

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

400260006 is an equidigital number, since it uses as much as digits as its factorization.

400260006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400260006 is about 20006.4990940444. The cubic root of 400260006 is about 736.9659101990.

The spelling of 400260006 in words is "four hundred million, two hundred sixty thousand, six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 439 666 878 1317 1369 2634 2738 3951 4107 7902 8214 12321 16243 24642 32486 48729 50653 97458 101306 146187 151959 292374 303918 455877 600991 911754 1201982 1802973 3605946 5408919 10817838 22236667 44473334 66710001 133420002 200130003 400260006