Search a number
-
+
1023554112 = 26374389199
BaseRepresentation
bin111101000000100…
…011001001000000
32122022222221021120
4331000203021000
54044012212422
6245322152240
734236031530
oct7500431100
92568887246
101023554112
11485851399
12246952680
13134096229
1499d1d4c0
155ecd545c
hex3d023240

1023554112 has 224 divisors, whose sum is σ = 3218688000. Its totient is φ = 281014272.

The previous prime is 1023554107. The next prime is 1023554131. The reversal of 1023554112 is 2114553201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5143389 + ... + 5143587.

Almost surely, 21023554112 is an apocalyptic number.

1023554112 is a gapful number since it is divisible by the number (12) 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 1023554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609344000).

1023554112 is an abundant number, since it is smaller than the sum of its proper divisors (2195133888).

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

1023554112 is a wasteful number, since it uses less digits than its factorization.

1023554112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1023554112 is about 31993.0322414116. The cubic root of 1023554112 is about 1007.7905208437.

The spelling of 1023554112 in words is "one billion, twenty-three million, five hundred fifty-four thousand, one hundred twelve".