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1125454000 = 24531151157
BaseRepresentation
bin100001100010101…
…0001000010110000
32220102201222122111
41003011101002300
54301104012000
6303402215104
736614125666
oct10305210260
92812658574
101125454000
11528320280
12274ab4494
1314c223718
14a9686c36
1568c12cba
hex431510b0

1125454000 has 80 divisors (see below), whose sum is σ = 2968801056. Its totient is φ = 409248000.

The previous prime is 1125453991. The next prime is 1125454003. The reversal of 1125454000 is 4545211.

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

It is a super-2 number, since 2×11254540002 = 2533293412232000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1125454003) 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, 3579 + ... + 47578.

Almost surely, 21125454000 is an apocalyptic number.

1125454000 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 1125454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484400528).

1125454000 is an abundant number, since it is smaller than the sum of its proper divisors (1843347056).

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

1125454000 is a wasteful number, since it uses less digits than its factorization.

1125454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51191 (or 51175 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1125454000 is about 33547.7868122474. The cubic root of 1125454000 is about 1040.1817976075.

Adding to 1125454000 its reverse (4545211), we get a palindrome (1129999211).

The spelling of 1125454000 in words is "one billion, one hundred twenty-five million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 51157 102314 204628 255785 409256 511570 562727 818512 1023140 1125454 1278925 2046280 2250908 2557850 2813635 4092560 4501816 5115700 5627270 6394625 9003632 10231400 11254540 12789250 14068175 20462800 22509080 25578500 28136350 45018160 51157000 56272700 70340875 102314000 112545400 140681750 225090800 281363500 562727000 1125454000