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126150480 = 2433558403
BaseRepresentation
bin1111000010011…
…10011101010000
322210101002221000
413201032131100
5224243303410
620303502000
73061155441
oct741163520
9283332830
10126150480
11652327a5
12362b7900
132019b571
1412a7b2c8
15b11cdc0
hex784e750

126150480 has 80 divisors (see below), whose sum is σ = 434525760. Its totient is φ = 33639552.

The previous prime is 126150473. The next prime is 126150487. The reversal of 126150480 is 84051621.

126150480 is a `hidden beast` number, since 1 + 2 + 615 + 0 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126150473) and next prime (126150487).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126150487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27042 + ... + 31361.

It is an arithmetic number, because the mean of its divisors is an integer number (5431572).

Almost surely, 2126150480 is an apocalyptic number.

126150480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126150480 is an abundant number, since it is smaller than the sum of its proper divisors (308375280).

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

126150480 is a wasteful number, since it uses less digits than its factorization.

126150480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58425 (or 58413 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 126150480 is about 11231.6730721652. The cubic root of 126150480 is about 501.5292911020.

The spelling of 126150480 in words is "one hundred twenty-six million, one hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 58403 116806 175209 233612 292015 350418 467224 525627 584030 700836 876045 934448 1051254 1168060 1401672 1576881 1752090 2102508 2336120 2628135 2803344 3153762 3504180 4205016 4672240 5256270 6307524 7008360 7884405 8410032 10512540 12615048 14016720 15768810 21025080 25230096 31537620 42050160 63075240 126150480