Search a number
-
+
93138380 = 225191311871
BaseRepresentation
bin1011000110100…
…10110111001100
320111020220211122
411203102313030
5142320412010
613124140112
72210443316
oct543226714
9214226748
1093138380
1148635275
1227237638
13163b058a
14c5267b6
15829b855
hex58d2dcc

93138380 has 48 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 35006400.

The previous prime is 93138377. The next prime is 93138407. The reversal of 93138380 is 8383139.

It is a self number, because there is not a number n which added to its sum of digits gives 93138380.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48845 + ... + 50715.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 293138380 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 93138380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

93138380 is an abundant number, since it is smaller than the sum of its proper divisors (114428980).

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

93138380 is a wasteful number, since it uses less digits than its factorization.

93138380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 93138380 is about 9650.8227628529. The cubic root of 93138380 is about 453.2900922328.

The spelling of 93138380 in words is "ninety-three million, one hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 131 190 262 380 524 655 1310 1871 2489 2620 3742 4978 7484 9355 9956 12445 18710 24890 35549 37420 49780 71098 142196 177745 245101 355490 490202 710980 980404 1225505 2451010 4656919 4902020 9313838 18627676 23284595 46569190 93138380