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1137920 = 2857127
BaseRepresentation
bin100010101110100000000
32010210221012
410111310000
5242403140
640220052
712446360
oct4256400
92123835
101137920
11707a33
1246a628
1330ac34
142189a0
15177265
hex115d00

1137920 has 72 divisors (see below), whose sum is σ = 3139584. Its totient is φ = 387072.

The previous prime is 1137919. The next prime is 1137937. The reversal of 1137920 is 297311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8897 + ... + 9023.

21137920 is an apocalyptic number.

1137920 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 1137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569792).

1137920 is an abundant number, since it is smaller than the sum of its proper divisors (2001664).

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

1137920 is an equidigital number, since it uses as much as digits as its factorization.

1137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 1137920 is about 1066.7333312501. The cubic root of 1137920 is about 104.4008201029.

The spelling of 1137920 in words is "one million, one hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 128 140 160 224 254 256 280 320 448 508 560 635 640 889 896 1016 1120 1270 1280 1778 1792 2032 2240 2540 3556 4064 4445 4480 5080 7112 8128 8890 8960 10160 14224 16256 17780 20320 28448 32512 35560 40640 56896 71120 81280 113792 142240 162560 227584 284480 568960 1137920