Search a number
-
+
137897616 = 24312722621
BaseRepresentation
bin10000011100000…
…10011010010000
3100121110220222010
420032002122100
5240300210431
621403342520
73263052603
oct1016023220
9317426863
10137897616
117092657a
123a221a40
132275242c
141445833a
15c18d846
hex8382690

137897616 has 40 divisors (see below), whose sum is σ = 359056384. Its totient is φ = 45601920.

The previous prime is 137897609. The next prime is 137897621. The reversal of 137897616 is 616798731.

It is a happy number.

137897616 is digitally balanced in base 3, 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5215 + ... + 17406.

Almost surely, 2137897616 is an apocalyptic number.

137897616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137897616 is an abundant number, since it is smaller than the sum of its proper divisors (221158768).

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

137897616 is a wasteful number, since it uses less digits than its factorization.

137897616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22759 (or 22753 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 137897616 is about 11742.9815634702. The cubic root of 137897616 is about 516.6370954055.

The spelling of 137897616 in words is "one hundred thirty-seven million, eight hundred ninety-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1524 2032 3048 6096 22621 45242 67863 90484 135726 180968 271452 361936 542904 1085808 2872867 5745734 8618601 11491468 17237202 22982936 34474404 45965872 68948808 137897616