Search a number
-
+
399474540 = 223253077229
BaseRepresentation
bin10111110011110…
…111111101101100
31000211200102001100
4113303313331230
51304231141130
6103350043100
712620322543
oct2763677554
91024612040
10399474540
11195547153
12b1949490
13649b938a
143b0a915a
152510cc60
hex17cf7f6c

399474540 has 72 divisors (see below), whose sum is σ = 1215854640. Its totient is φ = 106164864.

The previous prime is 399474527. The next prime is 399474571. The reversal of 399474540 is 45474993.

It is a happy number.

399474540 is a `hidden beast` number, since 39 + 9 + 4 + 74 + 540 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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, 51646 + ... + 58874.

It is an arithmetic number, because the mean of its divisors is an integer number (16886870).

Almost surely, 2399474540 is an apocalyptic number.

399474540 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 399474540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607927320).

399474540 is an abundant number, since it is smaller than the sum of its proper divisors (816380100).

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

399474540 is a wasteful number, since it uses less digits than its factorization.

399474540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 399474540 is about 19986.8591829732. The cubic root of 399474540 is about 736.4835231498.

The spelling of 399474540 in words is "three hundred ninety-nine million, four hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 7229 9210 11052 13815 14458 18420 21687 27630 28916 36145 43374 55260 65061 72290 86748 108435 130122 144580 216870 260244 325305 433740 650610 1301220 2219303 4438606 6657909 8877212 11096515 13315818 19973727 22193030 26631636 33289545 39947454 44386060 66579090 79894908 99868635 133158180 199737270 399474540