Search a number
-
+
95019330 = 23572371747
BaseRepresentation
bin1011010100111…
…10000101000010
320121210111000110
411222132011002
5143311104310
613232332150
72232436200
oct552360502
9217714013
1095019330
11496aa47a
12279a4056
13168bb773
14c896070
15851dd20
hex5a9e142

95019330 has 96 divisors (see below), whose sum is σ = 272604096. Its totient is φ = 21119616.

The previous prime is 95019329. The next prime is 95019343. The reversal of 95019330 is 3391059.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53517 + ... + 55263.

It is an arithmetic number, because the mean of its divisors is an integer number (2839626).

Almost surely, 295019330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95019330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136302048).

95019330 is an abundant number, since it is smaller than the sum of its proper divisors (177584766).

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

95019330 is a wasteful number, since it uses less digits than its factorization.

95019330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 95019330 is about 9747.7859024498. The cubic root of 95019330 is about 456.3212091269.

The spelling of 95019330 in words is "ninety-five million, nineteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 185 210 222 245 259 294 370 490 518 555 735 777 1110 1295 1470 1554 1747 1813 2590 3494 3626 3885 5241 5439 7770 8735 9065 10482 10878 12229 17470 18130 24458 26205 27195 36687 52410 54390 61145 64639 73374 85603 122290 129278 171206 183435 193917 256809 323195 366870 387834 428015 452473 513618 646390 856030 904946 969585 1284045 1357419 1939170 2262365 2568090 2714838 3167311 4524730 6334622 6787095 9501933 13574190 15836555 19003866 31673110 47509665 95019330