Search a number
-
+
127623990 = 235132291429
BaseRepresentation
bin1111001101101…
…10001100110110
322220010222012110
413212312030312
5230132431430
620355231450
73106533414
oct746661466
9286128173
10127623990
116604987a
12368a8586
1320596170
1412d422b4
15b30e7b0
hex79b6336

127623990 has 64 divisors (see below), whose sum is σ = 331531200. Its totient is φ = 31256064.

The previous prime is 127623961. The next prime is 127623997. The reversal of 127623990 is 99326721.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127623997) 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, 88596 + ... + 90024.

It is an arithmetic number, because the mean of its divisors is an integer number (5180175).

Almost surely, 2127623990 is an apocalyptic number.

127623990 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 127623990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165765600).

127623990 is an abundant number, since it is smaller than the sum of its proper divisors (203907210).

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

127623990 is a wasteful number, since it uses less digits than its factorization.

127623990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 127623990 is about 11297.0788259620. The cubic root of 127623990 is about 503.4744537516.

The spelling of 127623990 in words is "one hundred twenty-seven million, six hundred twenty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 229 390 458 687 1145 1374 1429 2290 2858 2977 3435 4287 5954 6870 7145 8574 8931 14290 14885 17862 18577 21435 29770 37154 42870 44655 55731 89310 92885 111462 185770 278655 327241 557310 654482 981723 1636205 1963446 3272410 4254133 4908615 8508266 9817230 12762399 21270665 25524798 42541330 63811995 127623990