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378130060 = 22573115011
BaseRepresentation
bin10110100010011…
…100111010001100
3222100111222221001
4112202130322030
51233300130220
6101304350044
712241024000
oct2642347214
9870458831
10378130060
11184498790
12a6775324
1360454cc9
1438310700
15232e380a
hex1689ce8c

378130060 has 96 divisors (see below), whose sum is σ = 1010419200. Its totient is φ = 117835200.

The previous prime is 378130057. The next prime is 378130063. The reversal of 378130060 is 60031873.

It is an interprime number because it is at equal distance from previous prime (378130057) and next prime (378130063).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (378130063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72955 + ... + 77965.

It is an arithmetic number, because the mean of its divisors is an integer number (10525200).

Almost surely, 2378130060 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 378130060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505209600).

378130060 is an abundant number, since it is smaller than the sum of its proper divisors (632289140).

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

378130060 is a wasteful number, since it uses less digits than its factorization.

378130060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 378130060 is about 19445.5665898425. The cubic root of 378130060 is about 723.1255964902.

The spelling of 378130060 in words is "three hundred seventy-eight million, one hundred thirty thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 343 385 490 539 686 770 980 1078 1372 1540 1715 2156 2695 3430 3773 5011 5390 6860 7546 10022 10780 15092 18865 20044 25055 35077 37730 50110 55121 70154 75460 100220 110242 140308 175385 220484 245539 275605 350770 385847 491078 551210 701540 771694 982156 1102420 1227695 1543388 1718773 1929235 2455390 2700929 3437546 3858470 4910780 5401858 6875092 7716940 8593865 10803716 13504645 17187730 18906503 27009290 34375460 37813006 54018580 75626012 94532515 189065030 378130060