Search a number
-
+
409997970 = 23356772243
BaseRepresentation
bin11000011100000…
…001001010010010
31001120111001111000
4120130001022102
51314424413340
6104403402430
713105632234
oct3034011222
91046431430
10409997970
111a04845a8
12b5383416
1366c32265
143c648254
1525edad30
hex18701292

409997970 has 64 divisors (see below), whose sum is σ = 1095431040. Its totient is φ = 109122624.

The previous prime is 409997957. The next prime is 409998041. The reversal of 409997970 is 79799904.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181669 + ... + 183911.

It is an arithmetic number, because the mean of its divisors is an integer number (17116110).

Almost surely, 2409997970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409997970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547715520).

409997970 is an abundant number, since it is smaller than the sum of its proper divisors (685433070).

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

409997970 is a wasteful number, since it uses less digits than its factorization.

409997970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 409997970 is about 20248.4066039775. The cubic root of 409997970 is about 742.8946580624.

The spelling of 409997970 in words is "four hundred nine million, nine hundred ninety-seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 677 1354 2031 2243 3385 4062 4486 6093 6729 6770 10155 11215 12186 13458 18279 20187 20310 22430 30465 33645 36558 40374 60561 60930 67290 91395 100935 121122 182790 201870 302805 605610 1518511 3037022 4555533 7592555 9111066 13666599 15185110 22777665 27333198 40999797 45555330 68332995 81999594 136665990 204998985 409997970