Search a number
-
+
1097623840 = 25522330763
BaseRepresentation
bin100000101101100…
…0110100100100000
32211111101001211211
41001123012210200
54221442430330
6300525515504
736125435335
oct10133064440
92744331754
101097623840
11513642045
12267712b94
1314652b281
14a5ac098c
1566566d2a
hex416c6920

1097623840 has 48 divisors (see below), whose sum is σ = 2604849408. Its totient is φ = 437066496.

The previous prime is 1097623831. The next prime is 1097623859. The reversal of 1097623840 is 483267901.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1097623793 and 1097623802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20299 + ... + 51061.

It is an arithmetic number, because the mean of its divisors is an integer number (54267696).

Almost surely, 21097623840 is an apocalyptic number.

1097623840 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 1097623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302424704).

1097623840 is an abundant number, since it is smaller than the sum of its proper divisors (1507225568).

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

1097623840 is a wasteful number, since it uses less digits than its factorization.

1097623840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31001 (or 30993 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1097623840 is about 33130.4065776440. The cubic root of 1097623840 is about 1031.5362878740.

The spelling of 1097623840 in words is "one billion, ninety-seven million, six hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1115 1784 2230 3568 4460 7136 8920 17840 30763 35680 61526 123052 153815 246104 307630 492208 615260 984416 1230520 2461040 4922080 6860149 13720298 27440596 34300745 54881192 68601490 109762384 137202980 219524768 274405960 548811920 1097623840