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126183640 = 23511229231
BaseRepresentation
bin1111000010101…
…10100011011000
322210102210102011
413201112203120
5224300334030
620304315304
73061354222
oct741264330
9283383364
10126183640
1165255700
1236312b34
13201b069b
1412a89412
15b127b2a
hex78568d8

126183640 has 144 divisors (see below), whose sum is σ = 333627840. Its totient is φ = 42873600.

The previous prime is 126183623. The next prime is 126183647. The reversal of 126183640 is 46381621.

It is a happy number.

It is a super-2 number, since 2×1261836402 = 31844622007299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126183647) 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 35 ways as a sum of consecutive naturals, for example, 4070425 + ... + 4070455.

It is an arithmetic number, because the mean of its divisors is an integer number (2316860).

Almost surely, 2126183640 is an apocalyptic number.

126183640 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 126183640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166813920).

126183640 is an abundant number, since it is smaller than the sum of its proper divisors (207444200).

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

126183640 is a wasteful number, since it uses less digits than its factorization.

126183640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 126183640 is about 11233.1491577384. The cubic root of 126183640 is about 501.5732313611.

The spelling of 126183640 in words is "one hundred twenty-six million, one hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 31 40 44 55 58 62 88 110 116 121 124 145 155 220 232 242 248 290 310 319 341 440 484 580 605 620 638 682 841 899 968 1160 1210 1240 1276 1364 1595 1682 1705 1798 2420 2552 2728 3190 3364 3410 3509 3596 3751 4205 4495 4840 6380 6728 6820 7018 7192 7502 8410 8990 9251 9889 12760 13640 14036 15004 16820 17545 17980 18502 18755 19778 26071 28072 30008 33640 35090 35960 37004 37510 39556 46255 49445 52142 70180 74008 75020 79112 92510 98890 101761 104284 108779 130355 140360 150040 185020 197780 203522 208568 217558 260710 286781 370040 395560 407044 435116 508805 521420 543895 573562 814088 870232 1017610 1042840 1087790 1147124 1433905 2035220 2175580 2294248 2867810 3154591 4070440 4351160 5735620 6309182 11471240 12618364 15772955 25236728 31545910 63091820 126183640