Search a number
-
+
1137834210 = 23553739803
BaseRepresentation
bin100001111010001…
…1111100011100010
32221022000222002210
41003310133203202
54312241143320
6304523422550
740124300622
oct10364374342
92838028083
101137834210
11534306757
12279084a56
131519697a6
14ab18a882
1569d5b0e0
hex43d1f8e2

1137834210 has 64 divisors (see below), whose sum is σ = 2820728448. Its totient is φ = 293589504.

The previous prime is 1137834197. The next prime is 1137834211. The reversal of 1137834210 is 124387311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1137834211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111169 + ... + 120971.

It is an arithmetic number, because the mean of its divisors is an integer number (44073882).

Almost surely, 21137834210 is an apocalyptic number.

1137834210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137834210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410364224).

1137834210 is an abundant number, since it is smaller than the sum of its proper divisors (1682894238).

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

1137834210 is a wasteful number, since it uses less digits than its factorization.

1137834210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1137834210 is about 33731.7982028827. The cubic root of 1137834210 is about 1043.9819637670.

The spelling of 1137834210 in words is "one billion, one hundred thirty-seven million, eight hundred thirty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 73 106 146 159 219 265 318 365 438 530 730 795 1095 1590 2190 3869 7738 9803 11607 19345 19606 23214 29409 38690 49015 58035 58818 98030 116070 147045 294090 519559 715619 1039118 1431238 1558677 2146857 2597795 3117354 3578095 4293714 5195590 7156190 7793385 10734285 15586770 21468570 37927807 75855614 113783421 189639035 227566842 379278070 568917105 1137834210