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1127490804 = 2232118931991
BaseRepresentation
bin100001100110100…
…0010010011110100
32220120120110121200
41003031002103310
54302114201204
6303514012500
736640341126
oct10315022364
92816513550
101127490804
11529491590
12275717130
1314c78782b
14a9a57216
1568eb6539
hex433424f4

1127490804 has 72 divisors (see below), whose sum is σ = 3144173760. Its totient is φ = 337814400.

The previous prime is 1127490787. The next prime is 1127490809. The reversal of 1127490804 is 4080947211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127490809) 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 23 ways as a sum of consecutive naturals, for example, 19249 + ... + 51239.

It is an arithmetic number, because the mean of its divisors is an integer number (43669080).

Almost surely, 21127490804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127490804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572086880).

1127490804 is an abundant number, since it is smaller than the sum of its proper divisors (2016682956).

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

1127490804 is a wasteful number, since it uses less digits than its factorization.

1127490804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32101 (or 32096 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1127490804 is about 33578.1298466725. The cubic root of 1127490804 is about 1040.8089133159.

The spelling of 1127490804 in words is "one billion, one hundred twenty-seven million, four hundred ninety thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1068 1602 1958 2937 3204 3916 5874 8811 11748 17622 31991 35244 63982 95973 127964 191946 287919 351901 383892 575838 703802 1055703 1151676 1407604 2111406 2847199 3167109 4222812 5694398 6334218 8541597 11388796 12668436 17083194 25624791 31319189 34166388 51249582 62638378 93957567 102499164 125276756 187915134 281872701 375830268 563745402 1127490804