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126990 = 23251783
BaseRepresentation
bin11111000000001110
320110012100
4133000032
513030430
62415530
71036143
oct370016
9213170
10126990
1187456
12615a6
1345a56
14343ca
1527960
hex1f00e

126990 has 48 divisors (see below), whose sum is σ = 353808. Its totient is φ = 31488.

The previous prime is 126989. The next prime is 127031. The reversal of 126990 is 99621.

126990 = 52 + 62 + ... + 722.

It is a happy number.

It is a super-2 number, since 2×1269902 = 32252920200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1489 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2126990 is an apocalyptic number.

126990 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 126990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

126990 is an abundant number, since it is smaller than the sum of its proper divisors (226818).

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

126990 is a wasteful number, since it uses less digits than its factorization.

126990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 126990 is about 356.3565630096. The cubic root of 126990 is about 50.2639376204.

The spelling of 126990 in words is "one hundred twenty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 83 85 90 102 153 166 170 249 255 306 415 498 510 747 765 830 1245 1411 1494 1530 2490 2822 3735 4233 7055 7470 8466 12699 14110 21165 25398 42330 63495 126990