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1041122720 = 25511253777
BaseRepresentation
bin111110000011100…
…100010110100000
32200120001111212202
4332003210112200
54113011411340
6251150512332
734541253131
oct7603442640
92616044782
101041122720
11494760a00
122508056a8
13137907a61
149c3b3c88
1561605c15
hex3e0e45a0

1041122720 has 72 divisors (see below), whose sum is σ = 2703635172. Its totient is φ = 378583040.

The previous prime is 1041122713. The next prime is 1041122729. The reversal of 1041122720 is 272211401.

It can be written as a sum of positive squares in 2 ways, for example, as 892575376 + 148547344 = 29876^2 + 12188^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1041122692 and 1041122701.

It is not an unprimeable number, because it can be changed into a prime (1041122729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7529 + ... + 46248.

Almost surely, 21041122720 is an apocalyptic number.

1041122720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041122720 is an abundant number, since it is smaller than the sum of its proper divisors (1662512452).

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

1041122720 is a wasteful number, since it uses less digits than its factorization.

1041122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53814 (or 53795 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1041122720 is about 32266.4333324897. The cubic root of 1041122720 is about 1013.5238542202.

The spelling of 1041122720 in words is "one billion, forty-one million, one hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 53777 107554 215108 268885 430216 537770 591547 860432 1075540 1183094 1720864 2151080 2366188 2957735 4302160 4732376 5915470 6507017 8604320 9464752 11830940 13014034 18929504 23661880 26028068 32535085 47323760 52056136 65070170 94647520 104112272 130140340 208224544 260280680 520561360 1041122720