Search a number
-
+
163581040 = 2457594951
BaseRepresentation
bin10011100000000…
…00110001110000
3102101210210000001
421300000301300
5313334043130
624122035344
74024262440
oct1160006160
9371723001
10163581040
1184378947
1246948b54
1327b7571c
1417a22120
15e5636ca
hex9c00c70

163581040 has 80 divisors (see below), whose sum is σ = 442114560. Its totient is φ = 55123200.

The previous prime is 163581031. The next prime is 163581049. The reversal of 163581040 is 40185361.

It is an interprime number because it is at equal distance from previous prime (163581031) and next prime (163581049).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163581049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30565 + ... + 35515.

It is an arithmetic number, because the mean of its divisors is an integer number (5526432).

Almost surely, 2163581040 is an apocalyptic number.

163581040 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 163581040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221057280).

163581040 is an abundant number, since it is smaller than the sum of its proper divisors (278533520).

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

163581040 is a wasteful number, since it uses less digits than its factorization.

163581040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 163581040 is about 12789.8803747338. The cubic root of 163581040 is about 546.9038596579.

The spelling of 163581040 in words is "one hundred sixty-three million, five hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 4130 4720 4951 6608 8260 9902 16520 19804 24755 33040 34657 39608 49510 69314 79216 99020 138628 173285 198040 277256 292109 346570 396080 554512 584218 693140 1168436 1386280 1460545 2044763 2336872 2772560 2921090 4089526 4673744 5842180 8179052 10223815 11684360 16358104 20447630 23368720 32716208 40895260 81790520 163581040