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126940540 = 2252927547
BaseRepresentation
bin1111001000011…
…11010101111100
322211212020200111
413210033111330
5224444044130
620332435404
73100656016
oct744172574
9284766614
10126940540
1165722341
1236618b64
13203b705c
1412c051b6
15b22702a
hex790f57c

126940540 has 36 divisors (see below), whose sum is σ = 276120936. Its totient is φ = 49018816.

The previous prime is 126940531. The next prime is 126940571. The reversal of 126940540 is 45049621.

It is a super-2 number, since 2×1269405402 = 32227801390983200, 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 11 ways as a sum of consecutive naturals, for example, 13047 + ... + 20593.

It is an arithmetic number, because the mean of its divisors is an integer number (7670026).

Almost surely, 2126940540 is an apocalyptic number.

126940540 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 126940540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138060468).

126940540 is an abundant number, since it is smaller than the sum of its proper divisors (149180396).

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

126940540 is a wasteful number, since it uses less digits than its factorization.

126940540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 126940540 is about 11266.7892498262. The cubic root of 126940540 is about 502.5741118217.

The spelling of 126940540 in words is "one hundred twenty-six million, nine hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 7547 8410 15094 16820 30188 37735 75470 150940 218863 437726 875452 1094315 2188630 4377260 6347027 12694054 25388108 31735135 63470270 126940540