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1125640000 = 2654107263
BaseRepresentation
bin100001100010111…
…1110011101000000
32220110002102210101
41003011332131000
54301130440000
6303410212144
736615532162
oct10305763500
92813072711
101125640000
11528437aa1
12274b84054
1314c28a294
14a96d4932
1568c4ce6a
hex4317e740

1125640000 has 140 divisors (see below), whose sum is σ = 2828019744. Its totient is φ = 444352000.

The previous prime is 1125639997. The next prime is 1125640001. The reversal of 1125640000 is 465211.

It is a self number, because there is not a number n which added to its sum of digits gives 1125640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125640001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4279869 + ... + 4280131.

Almost surely, 21125640000 is an apocalyptic number.

1125640000 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 1125640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414009872).

1125640000 is an abundant number, since it is smaller than the sum of its proper divisors (1702379744).

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

1125640000 is an equidigital number, since it uses as much as digits as its factorization.

1125640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1125640000 is about 33550.5588627075. The cubic root of 1125640000 is about 1040.2390969010.

The spelling of 1125640000 in words is "one billion, one hundred twenty-five million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 125 160 200 214 250 263 320 400 428 500 526 535 625 800 856 1000 1052 1070 1250 1315 1600 1712 2000 2104 2140 2500 2630 2675 3424 4000 4208 4280 5000 5260 5350 6575 6848 8000 8416 8560 10000 10520 10700 13150 13375 16832 17120 20000 21040 21400 26300 26750 28141 32875 34240 40000 42080 42800 52600 53500 56282 65750 66875 84160 85600 105200 107000 112564 131500 133750 140705 164375 171200 210400 214000 225128 263000 267500 281410 328750 420800 428000 450256 526000 535000 562820 657500 703525 856000 900512 1052000 1070000 1125640 1315000 1407050 1801024 2104000 2140000 2251280 2630000 2814100 3517625 4280000 4502560 5260000 5628200 7035250 9005120 10520000 11256400 14070500 17588125 22512800 28141000 35176250 45025600 56282000 70352500 112564000 140705000 225128000 281410000 562820000 1125640000