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126230496 = 2537187843
BaseRepresentation
bin1111000011000…
…01111111100000
322210112011200120
413201201333200
5224303333441
620305320240
73061640640
oct741417740
9283464616
10126230496
1165287927
1236336080
13201c8b02
1412a9c520
15b136966
hex7861fe0

126230496 has 48 divisors (see below), whose sum is σ = 378693504. Its totient is φ = 36065664.

The previous prime is 126230459. The next prime is 126230497. The reversal of 126230496 is 694032621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126230497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93250 + ... + 94593.

It is an arithmetic number, because the mean of its divisors is an integer number (7889448).

Almost surely, 2126230496 is an apocalyptic number.

126230496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126230496 is an abundant number, since it is smaller than the sum of its proper divisors (252463008).

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

126230496 is a wasteful number, since it uses less digits than its factorization.

126230496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187863 (or 187855 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 126230496 is about 11235.2345769904. The cubic root of 126230496 is about 501.6353070442.

The spelling of 126230496 in words is "one hundred twenty-six million, two hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 187843 375686 563529 751372 1127058 1314901 1502744 2254116 2629802 3005488 3944703 4508232 5259604 6010976 7889406 9016464 10519208 15778812 18032928 21038416 31557624 42076832 63115248 126230496