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138622464 = 293267449
BaseRepresentation
bin10000100001100…
…11011000000000
3100122211202021100
420100303120000
5240441404324
621431054400
73302162061
oct1020633000
9318752240
10138622464
1171281122
123a511400
1322947336
14145a6568
15c2834c9
hex8433600

138622464 has 120 divisors (see below), whose sum is σ = 406949400. Its totient is φ = 45416448.

The previous prime is 138622457. The next prime is 138622487. The reversal of 138622464 is 464226831.

138622464 is a `hidden beast` number, since 138 + 62 + 2 + 464 = 666.

138622464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308512 + ... + 308960.

It is an arithmetic number, because the mean of its divisors is an integer number (3391245).

Almost surely, 2138622464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203474700).

138622464 is an abundant number, since it is smaller than the sum of its proper divisors (268326936).

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

138622464 is an equidigital number, since it uses as much as digits as its factorization.

138622464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 138622464 is about 11773.8041430967. The cubic root of 138622464 is about 517.5407347337.

The spelling of 138622464 in words is "one hundred thirty-eight million, six hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 449 512 536 576 603 768 804 898 1072 1152 1206 1347 1536 1608 1796 2144 2304 2412 2694 3216 3592 4041 4288 4608 4824 5388 6432 7184 8082 8576 9648 10776 12864 14368 16164 17152 19296 21552 25728 28736 30083 32328 34304 38592 43104 51456 57472 60166 64656 77184 86208 90249 102912 114944 120332 129312 154368 172416 180498 229888 240664 258624 270747 308736 344832 360996 481328 517248 541494 689664 721992 962656 1034496 1082988 1443984 1925312 2068992 2165976 2887968 3850624 4331952 5775936 7701248 8663904 11551872 15402496 17327808 23103744 34655616 46207488 69311232 138622464