Search a number
-
+
368058140 = 2252961101103
BaseRepresentation
bin10101111100000…
…001111100011100
3221122120021211222
4111330001330130
51223210330030
6100304432512
712056304542
oct2574017434
9848507758
10368058140
1117983958a
12a3318738
135b3397a8
1436c4bd92
15224a43e5
hex15f01f1c

368058140 has 96 divisors (see below), whose sum is σ = 828696960. Its totient is φ = 137088000.

The previous prime is 368058137. The next prime is 368058157. The reversal of 368058140 is 41850863.

It is a self number, because there is not a number n which added to its sum of digits gives 368058140.

It is a congruent number.

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, 3573329 + ... + 3573431.

It is an arithmetic number, because the mean of its divisors is an integer number (8632260).

Almost surely, 2368058140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368058140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

368058140 is an abundant number, since it is smaller than the sum of its proper divisors (460638820).

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

368058140 is a wasteful number, since it uses less digits than its factorization.

368058140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 368058140 is about 19184.8414119064. The cubic root of 368058140 is about 716.6473110571.

The spelling of 368058140 in words is "three hundred sixty-eight million, fifty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 61 101 103 116 122 145 202 206 244 290 305 404 412 505 515 580 610 1010 1030 1220 1769 2020 2060 2929 2987 3538 5858 5974 6161 6283 7076 8845 10403 11716 11948 12322 12566 14645 14935 17690 20806 24644 25132 29290 29870 30805 31415 35380 41612 52015 58580 59740 61610 62830 104030 123220 125660 178669 182207 208060 301687 357338 364414 603374 634583 714676 728828 893345 911035 1206748 1269166 1508435 1786690 1822070 2538332 3016870 3172915 3573380 3644140 6033740 6345830 12691660 18402907 36805814 73611628 92014535 184029070 368058140