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126904660 = 22517735113
BaseRepresentation
bin1111001000001…
…10100101010100
322211210102110121
413210012211110
5224441422120
620332001324
73100446301
oct744064524
9284712417
10126904660
11656a8393
1236600244
13203a391c
1412bd60a8
15b21b5aa
hex7906954

126904660 has 48 divisors (see below), whose sum is σ = 286097616. Its totient is φ = 47112192.

The previous prime is 126904651. The next prime is 126904663. The reversal of 126904660 is 66409621.

It can be written as a sum of positive squares in 8 ways, for example, as 6739216 + 120165444 = 2596^2 + 10962^2 .

It is a super-2 number, since 2×1269046602 = 32209585459431200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126904663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22264 + ... + 27376.

It is an arithmetic number, because the mean of its divisors is an integer number (5960367).

Almost surely, 2126904660 is an apocalyptic number.

126904660 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 126904660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143048808).

126904660 is an abundant number, since it is smaller than the sum of its proper divisors (159192956).

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

126904660 is a wasteful number, since it uses less digits than its factorization.

126904660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 126904660 is about 11265.1968469264. The cubic root of 126904660 is about 502.5267561638.

The spelling of 126904660 in words is "one hundred twenty-six million, nine hundred four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 5113 6205 10226 12410 20452 24820 25565 51130 86921 102260 173842 347684 373249 434605 746498 869210 1492996 1738420 1866245 3732490 6345233 7464980 12690466 25380932 31726165 63452330 126904660