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126148920 = 23353133911
BaseRepresentation
bin1111000010011…
…10000100111000
322210101000210020
413201032010320
5224243231140
620303450440
73061151052
oct741160470
9283330706
10126148920
1165231607
12362b6a20
132019a941
1412a7a8d2
15b11c6d0
hex784e138

126148920 has 64 divisors (see below), whose sum is σ = 390666240. Its totient is φ = 32553600.

The previous prime is 126148877. The next prime is 126148931. The reversal of 126148920 is 29841621.

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, 13236 + ... + 20675.

It is an arithmetic number, because the mean of its divisors is an integer number (6104160).

Almost surely, 2126148920 is an apocalyptic number.

126148920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126148920 is an abundant number, since it is smaller than the sum of its proper divisors (264517320).

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

126148920 is a wasteful number, since it uses less digits than its factorization.

126148920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33956 (or 33952 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 126148920 is about 11231.6036254847. The cubic root of 126148920 is about 501.5272237590.

The spelling of 126148920 in words is "one hundred twenty-six million, one hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 33911 67822 101733 135644 169555 203466 271288 339110 406932 508665 678220 813864 1017330 1051241 1356440 2034660 2102482 3153723 4069320 4204964 5256205 6307446 8409928 10512410 12614892 15768615 21024820 25229784 31537230 42049640 63074460 126148920