Search a number
-
+
1406663424 = 28324114891
BaseRepresentation
bin101001111010111…
…1111101100000000
310122000212220110100
41103311333230000
510340101212144
6351325402400
746600304355
oct12365775400
93560786410
101406663424
11662030061
12333109400
1319557272a
14d4b6862c
158375e269
hex53d7fb00

1406663424 has 108 divisors (see below), whose sum is σ = 4154957352. Its totient is φ = 457420800.

The previous prime is 1406663411. The next prime is 1406663441. The reversal of 1406663424 is 4243666041.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87019 + ... + 101909.

Almost surely, 21406663424 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 1406663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077478676).

1406663424 is an abundant number, since it is smaller than the sum of its proper divisors (2748293928).

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

1406663424 is a wasteful number, since it uses less digits than its factorization.

1406663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14954 (or 14937 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1406663424 is about 37505.5119149173. The cubic root of 1406663424 is about 1120.4609667131.

The spelling of 1406663424 in words is "one billion, four hundred six million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1968 2304 2624 2952 3936 5248 5904 7872 10496 11808 14891 15744 23616 29782 31488 44673 47232 59564 89346 94464 119128 134019 178692 238256 268038 357384 476512 536076 610531 714768 953024 1072152 1221062 1429536 1831593 1906048 2144304 2442124 2859072 3663186 3812096 4288608 4884248 5494779 5718144 7326372 8577216 9768496 10989558 11436288 14652744 17154432 19536992 21979116 29305488 34308864 39073984 43958232 58610976 78147968 87916464 117221952 156295936 175832928 234443904 351665856 468887808 703331712 1406663424