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137419410 = 2355418467
BaseRepresentation
bin10000011000011…
…01101010010010
3100120120121222210
420030031222102
5240134410120
621345212550
73256021452
oct1014155222
9316517883
10137419410
117062a267
123a031156
132261587b
1414371d62
15c0e6ce0
hex830da92

137419410 has 32 divisors (see below), whose sum is σ = 330455232. Its totient is φ = 36573120.

The previous prime is 137419409. The next prime is 137419417. The reversal of 137419410 is 14914731.

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 (137419417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11997 + ... + 20463.

It is an arithmetic number, because the mean of its divisors is an integer number (10326726).

Almost surely, 2137419410 is an apocalyptic number.

137419410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137419410 is an abundant number, since it is smaller than the sum of its proper divisors (193035822).

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

137419410 is a wasteful number, since it uses less digits than its factorization.

137419410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 137419410 is about 11722.6025267429. The cubic root of 137419410 is about 516.0391998944.

The spelling of 137419410 in words is "one hundred thirty-seven million, four hundred nineteen thousand, four hundred ten".