Search a number
-
+
1373042120 = 235297914983
BaseRepresentation
bin101000111010110…
…1111010111001000
310112200121202200212
41101311233113020
510302444321440
6344125020252
746011444152
oct12165572710
93480552625
101373042120
1164505695a
123239b4688
1318b600378
14d04d5ad2
158081c465
hex51d6f5c8

1373042120 has 64 divisors (see below), whose sum is σ = 3236544000. Its totient is φ = 523531008.

The previous prime is 1373042113. The next prime is 1373042131. The reversal of 1373042120 is 212403731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84149 + ... + 99131.

It is an arithmetic number, because the mean of its divisors is an integer number (50571000).

Almost surely, 21373042120 is an apocalyptic number.

1373042120 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 1373042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618272000).

1373042120 is an abundant number, since it is smaller than the sum of its proper divisors (1863501880).

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

1373042120 is a wasteful number, since it uses less digits than its factorization.

1373042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15102 (or 15098 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 1373042120 is about 37054.5829824058. The cubic root of 1373042120 is about 1111.4620023169.

Adding to 1373042120 its reverse (212403731), we get a palindrome (1585445851).

The spelling of 1373042120 in words is "one billion, three hundred seventy-three million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 79 116 145 158 232 290 316 395 580 632 790 1160 1580 2291 3160 4582 9164 11455 14983 18328 22910 29966 45820 59932 74915 91640 119864 149830 299660 434507 599320 869014 1183657 1738028 2172535 2367314 3476056 4345070 4734628 5918285 8690140 9469256 11836570 17380280 23673140 34326053 47346280 68652106 137304212 171630265 274608424 343260530 686521060 1373042120