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1123342400 = 26521395051
BaseRepresentation
bin100001011110100…
…1101100001000000
32220021202201002002
41002331031201000
54300033424100
6303245043132
736560152505
oct10275154100
92807681062
101123342400
11527108854
122742564a8
1314b96455b
14a92974ac
15689472d5
hex42f4d840

1123342400 has 84 divisors (see below), whose sum is σ = 2784561360. Its totient is φ = 446016000.

The previous prime is 1123342397. The next prime is 1123342417. The reversal of 1123342400 is 42433211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219875 + ... + 224925.

It is an arithmetic number, because the mean of its divisors is an integer number (33149540).

Almost surely, 21123342400 is an apocalyptic number.

1123342400 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 1123342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392280680).

1123342400 is an abundant number, since it is smaller than the sum of its proper divisors (1661218960).

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

1123342400 is a wasteful number, since it uses less digits than its factorization.

1123342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1123342400 is about 33516.3005118405. The cubic root of 1123342400 is about 1039.5308534875.

Adding to 1123342400 its reverse (42433211), we get a palindrome (1165775611).

The spelling of 1123342400 in words is "one billion, one hundred twenty-three million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 139 160 200 278 320 400 556 695 800 1112 1390 1600 2224 2780 3475 4448 5051 5560 6950 8896 10102 11120 13900 20204 22240 25255 27800 40408 44480 50510 55600 80816 101020 111200 126275 161632 202040 222400 252550 323264 404080 505100 702089 808160 1010200 1404178 1616320 2020400 2808356 3510445 4040800 5616712 7020890 8081600 11233424 14041780 17552225 22466848 28083560 35104450 44933696 56167120 70208900 112334240 140417800 224668480 280835600 561671200 1123342400