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1076672500 = 22542691601
BaseRepresentation
bin100000000101100…
…1011011111110100
32210000221122000021
41000023023133310
54201112010000
6254500454524
735452364611
oct10013133764
92700848007
101076672500
11502831a92
122606aa444
131420a3b27
14a2dc9508
15647c911a
hex402cb7f4

1076672500 has 60 divisors (see below), whose sum is σ = 2364696180. Its totient is φ = 428800000.

The previous prime is 1076672491. The next prime is 1076672537. The reversal of 1076672500 is 52766701.

It can be written as a sum of positive squares in 10 ways, for example, as 727057296 + 349615204 = 26964^2 + 18698^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 671700 + ... + 673300.

It is an arithmetic number, because the mean of its divisors is an integer number (39411603).

Almost surely, 21076672500 is an apocalyptic number.

1076672500 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 1076672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182348090).

1076672500 is an abundant number, since it is smaller than the sum of its proper divisors (1288023680).

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

1076672500 is a wasteful number, since it uses less digits than its factorization.

1076672500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 1076672500 is about 32812.6880946990. The cubic root of 1076672500 is about 1024.9307904886.

It can be divided in two parts, 1076 and 672500, that multiplied together give a square (723610000 = 269002).

The spelling of 1076672500 in words is "one billion, seventy-six million, six hundred seventy-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 269 500 538 625 1076 1250 1345 1601 2500 2690 3202 5380 6404 6725 8005 13450 16010 26900 32020 33625 40025 67250 80050 134500 160100 168125 200125 336250 400250 430669 672500 800500 861338 1000625 1722676 2001250 2153345 4002500 4306690 8613380 10766725 21533450 43066900 53833625 107667250 215334500 269168125 538336250 1076672500