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126722440 = 23513379643
BaseRepresentation
bin1111000110110…
…10000110001000
322211110011111201
413203122012020
5224420104230
620324033544
73066060115
oct743320610
9284404451
10126722440
1165593499
12365328b4
132033b9c0
1412b8990c
15b1d25ca
hex78da188

126722440 has 64 divisors (see below), whose sum is σ = 308347200. Its totient is φ = 46593792.

The previous prime is 126722429. The next prime is 126722441. The reversal of 126722440 is 44227621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 126722399 and 126722408.

It is not an unprimeable number, because it can be changed into a prime (126722441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196759 + ... + 197401.

It is an arithmetic number, because the mean of its divisors is an integer number (4817925).

Almost surely, 2126722440 is an apocalyptic number.

126722440 is a gapful number since it is divisible by the number (10) 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 126722440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154173600).

126722440 is an abundant number, since it is smaller than the sum of its proper divisors (181624760).

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

126722440 is a wasteful number, since it uses less digits than its factorization.

126722440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 126722440 is about 11257.1062000853. The cubic root of 126722440 is about 502.2861180644.

The spelling of 126722440 in words is "one hundred twenty-six million, seven hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 379 520 643 758 1286 1516 1895 2572 3032 3215 3790 4927 5144 6430 7580 8359 9854 12860 15160 16718 19708 24635 25720 33436 39416 41795 49270 66872 83590 98540 167180 197080 243697 334360 487394 974788 1218485 1949576 2436970 3168061 4873940 6336122 9747880 12672244 15840305 25344488 31680610 63361220 126722440