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1127649980 = 225237333581
BaseRepresentation
bin100001100110110…
…1001001010111100
32220120212112222002
41003031221022330
54302134244410
6303521241432
736641603162
oct10315511274
92816775862
101127649980
11529590136
12275793278
1314c812112
14a9a99232
1568ee87a5
hex433692bc

1127649980 has 48 divisors (see below), whose sum is σ = 2504948544. Its totient is φ = 425525760.

The previous prime is 1127649979. The next prime is 1127649983. The reversal of 1127649980 is 899467211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127649983) 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, 16790 + ... + 50370.

It is an arithmetic number, because the mean of its divisors is an integer number (52186428).

Almost surely, 21127649980 is an apocalyptic number.

1127649980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 33580×33581.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127649980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252474272).

1127649980 is an abundant number, since it is smaller than the sum of its proper divisors (1377298564).

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

1127649980 is a wasteful number, since it uses less digits than its factorization.

1127649980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33686 (or 33684 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 1127649980 is about 33580.4999962776. The cubic root of 1127649980 is about 1040.8578905088.

The spelling of 1127649980 in words is "one billion, one hundred twenty-seven million, six hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 730 1460 1679 3358 6716 8395 16790 33580 33581 67162 134324 167905 335810 671620 772363 1544726 2451413 3089452 3861815 4902826 7723630 9805652 12257065 15447260 24514130 49028260 56382499 112764998 225529996 281912495 563824990 1127649980