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137303740 = 22571795479
BaseRepresentation
bin10000010111100…
…01011010111100
3100120100202022201
420023301122330
5240122204430
621342521244
73255030310
oct1013613274
9316322281
10137303740
1170560372
1239b96224
13225a5022
1414341b40
15c0c28ca
hex82f16bc

137303740 has 48 divisors (see below), whose sum is σ = 331430400. Its totient is φ = 46804032.

The previous prime is 137303737. The next prime is 137303759. The reversal of 137303740 is 47303731.

137303740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 137303699 and 137303708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22321 + ... + 27799.

It is an arithmetic number, because the mean of its divisors is an integer number (6904800).

Almost surely, 2137303740 is an apocalyptic number.

137303740 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 137303740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165715200).

137303740 is an abundant number, since it is smaller than the sum of its proper divisors (194126660).

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

137303740 is a wasteful number, since it uses less digits than its factorization.

137303740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 137303740 is about 11717.6678567025. The cubic root of 137303740 is about 515.8943707426.

Subtracting from 137303740 its reverse (47303731), we obtain a palindrome (90000009).

The spelling of 137303740 in words is "one hundred thirty-seven million, three hundred three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 1253 1790 2506 3580 5012 5479 6265 10958 12530 21916 25060 27395 38353 54790 76706 109580 153412 191765 383530 767060 980741 1961482 3922964 4903705 6865187 9807410 13730374 19614820 27460748 34325935 68651870 137303740