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126494984 = 23711297397
BaseRepresentation
bin1111000101000…
…10100100001000
322211000121111102
413202202210020
5224340314414
620315120532
73064122020
oct742424410
9284017442
10126494984
1165448610
1236443148
132028c305
1412b2aa80
15b189ede
hex78a2908

126494984 has 128 divisors (see below), whose sum is σ = 313286400. Its totient is φ = 46448640.

The previous prime is 126494981. The next prime is 126494987. The reversal of 126494984 is 489494621.

It is an interprime number because it is at equal distance from previous prime (126494981) and next prime (126494987).

It is not an unprimeable number, because it can be changed into a prime (126494981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1304024 + ... + 1304120.

It is an arithmetic number, because the mean of its divisors is an integer number (2447550).

Almost surely, 2126494984 is an apocalyptic number.

126494984 is a gapful number since it is divisible by the number (14) 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 126494984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156643200).

126494984 is an abundant number, since it is smaller than the sum of its proper divisors (186791416).

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

126494984 is a wasteful number, since it uses less digits than its factorization.

126494984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 126494984 is about 11246.9988885925. The cubic root of 126494984 is about 501.9854177973.

The spelling of 126494984 in words is "one hundred twenty-six million, four hundred ninety-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 73 77 88 97 116 146 154 194 203 232 292 308 319 388 406 511 584 616 638 679 776 803 812 1022 1067 1276 1358 1606 1624 2044 2117 2134 2233 2552 2716 2813 3212 4088 4234 4268 4466 5432 5621 5626 6424 7081 7469 8468 8536 8932 11242 11252 14162 14819 14938 16936 17864 19691 22484 22504 23287 28324 29638 29876 30943 39382 44968 46574 49567 56648 59276 59752 61886 77891 78764 93148 99134 118552 123772 155782 157528 163009 186296 198268 205349 216601 247544 311564 326018 396536 410698 433202 545237 623128 652036 821396 866404 1090474 1304072 1437443 1642792 1732808 2180948 2258839 2874886 4361896 4517678 5749772 9035356 11499544 15811873 18070712 31623746 63247492 126494984