Search a number
-
+
126686970 = 2335607773
BaseRepresentation
bin1111000110100…
…01011011111010
322211101100212000
413203101123322
5224412440340
620323201430
73065551524
oct743213372
9284340760
10126686970
1165569883
1236516276
1320328807
1412b7aa14
15b1c6d30
hex78d16fa

126686970 has 64 divisors (see below), whose sum is σ = 338826240. Its totient is φ = 33683904.

The previous prime is 126686953. The next prime is 126686971. The reversal of 126686970 is 79686621.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (126686971) 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, 163504 + ... + 164276.

It is an arithmetic number, because the mean of its divisors is an integer number (5294160).

Almost surely, 2126686970 is an apocalyptic number.

126686970 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 126686970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169413120).

126686970 is an abundant number, since it is smaller than the sum of its proper divisors (212139270).

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

126686970 is a wasteful number, since it uses less digits than its factorization.

126686970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 126686970 is about 11255.5306405340. The cubic root of 126686970 is about 502.2392498824.

The spelling of 126686970 in words is "one hundred twenty-six million, six hundred eighty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 607 773 1214 1546 1821 2319 3035 3642 3865 4638 5463 6070 6957 7730 9105 10926 11595 13914 16389 18210 20871 23190 27315 32778 34785 41742 54630 69570 81945 104355 163890 208710 469211 938422 1407633 2346055 2815266 4222899 4692110 7038165 8445798 12668697 14076330 21114495 25337394 42228990 63343485 126686970