Search a number
-
+
190613880 = 233252323021
BaseRepresentation
bin10110101110010…
…00100101111000
3111021200012002100
423113020211320
5342244121010
630525303400
74503122412
oct1327104570
9437605070
10190613880
1198662036
1253a04b60
133064bca2
141b45b9b2
1511b032c0
hexb5c8978

190613880 has 96 divisors (see below), whose sum is σ = 646457760. Its totient is φ = 48618240.

The previous prime is 190613873. The next prime is 190613887. The reversal of 190613880 is 88316091.

190613880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190613873) and next prime (190613887).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190613887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3231 + ... + 19790.

It is an arithmetic number, because the mean of its divisors is an integer number (6733935).

Almost surely, 2190613880 is an apocalyptic number.

190613880 is a gapful number since it is divisible by the number (10) 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 190613880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323228880).

190613880 is an abundant number, since it is smaller than the sum of its proper divisors (455843880).

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

190613880 is a wasteful number, since it uses less digits than its factorization.

190613880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23061 (or 23054 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 190613880 is about 13806.2985626126. The cubic root of 190613880 is about 575.5081884089.

The spelling of 190613880 in words is "one hundred ninety million, six hundred thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 23021 46042 69063 92084 115105 138126 184168 207189 230210 276252 345315 414378 460420 529483 552504 690630 828756 920840 1035945 1058966 1381260 1588449 1657512 2071890 2117932 2647415 2762520 3176898 4143780 4235864 4765347 5294830 6353796 7942245 8287560 9530694 10589660 12707592 15884490 19061388 21179320 23826735 31768980 38122776 47653470 63537960 95306940 190613880