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126491232 = 2537414591
BaseRepresentation
bin1111000101000…
…01101001100000
322211000102100110
413202201221200
5224340204412
620315051320
73064105050
oct742415140
9284012313
10126491232
116544580a
1236440b40
132028a6aa
1412b29560
15b188d3c
hex78a1a60

126491232 has 96 divisors (see below), whose sum is σ = 388813824. Its totient is φ = 35251200.

The previous prime is 126491207. The next prime is 126491249. The reversal of 126491232 is 232194621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 126491232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25257 + ... + 29847.

It is an arithmetic number, because the mean of its divisors is an integer number (4050144).

Almost surely, 2126491232 is an apocalyptic number.

126491232 is a gapful number since it is divisible by the number (12) 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 126491232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194406912).

126491232 is an abundant number, since it is smaller than the sum of its proper divisors (262322592).

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

126491232 is a wasteful number, since it uses less digits than its factorization.

126491232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4644 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 126491232 is about 11246.8320873035. The cubic root of 126491232 is about 501.9804545757.

The spelling of 126491232 in words is "one hundred twenty-six million, four hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4591 4592 6888 9182 9184 13773 13776 18364 27546 27552 32137 36728 55092 64274 73456 96411 110184 128548 146912 188231 192822 220368 257096 376462 385644 440736 514192 564693 752924 771288 1028384 1129386 1317617 1505848 1542576 2258772 2635234 3011696 3085152 3952851 4517544 5270468 6023392 7905702 9035088 10540936 15811404 18070176 21081872 31622808 42163744 63245616 126491232