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126711640 = 23511614721
BaseRepresentation
bin1111000110101…
…11011101011000
322211102121200201
413203113131120
5224414233030
620323511544
73066013456
oct743273530
9284377621
10126711640
1165586370
12365285b4
1320336b03
1412b859d6
15b1ce2ca
hex78d7758

126711640 has 64 divisors (see below), whose sum is σ = 316185120. Its totient is φ = 45312000.

The previous prime is 126711617. The next prime is 126711667. The reversal of 126711640 is 46117621.

It is a super-2 number, since 2×1267116402 = 32111679422979200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126711599 and 126711608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24480 + ... + 29200.

Almost surely, 2126711640 is an apocalyptic number.

126711640 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 126711640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158092560).

126711640 is an abundant number, since it is smaller than the sum of its proper divisors (189473480).

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

126711640 is a wasteful number, since it uses less digits than its factorization.

126711640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 126711640 is about 11256.6264928708. The cubic root of 126711640 is about 502.2718484417.

The spelling of 126711640 in words is "one hundred twenty-six million, seven hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3355 4721 5368 6710 9442 13420 18884 23605 26840 37768 47210 51931 94420 103862 188840 207724 259655 287981 415448 519310 575962 1038620 1151924 1439905 2077240 2303848 2879810 3167791 5759620 6335582 11519240 12671164 15838955 25342328 31677910 63355820 126711640