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126106380 = 22325700591
BaseRepresentation
bin1111000010000…
…11101100001100
322210021212102200
413201003230030
5224240401010
620302521500
73060613041
oct741035414
9283255380
10126106380
1165202654
1236296290
132018447a
1412a691c8
15b10ecc0
hex7843b0c

126106380 has 36 divisors (see below), whose sum is σ = 382523232. Its totient is φ = 33628320.

The previous prime is 126106369. The next prime is 126106381. The reversal of 126106380 is 83601621.

126106380 is a `hidden beast` number, since 1 + 26 + 1 + 0 + 638 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (126106381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350116 + ... + 350475.

Almost surely, 2126106380 is an apocalyptic number.

126106380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126106380 is an abundant number, since it is smaller than the sum of its proper divisors (256416852).

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

126106380 is a wasteful number, since it uses less digits than its factorization.

126106380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700606 (or 700601 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 126106380 is about 11229.7097023921. The cubic root of 126106380 is about 501.4708423363.

The spelling of 126106380 in words is "one hundred twenty-six million, one hundred six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 700591 1401182 2101773 2802364 3502955 4203546 6305319 7005910 8407092 10508865 12610638 14011820 21017730 25221276 31526595 42035460 63053190 126106380