Search a number
-
+
1490622336 = 27327226407
BaseRepresentation
bin101100011011001…
…0001011110000000
310211212212110102200
41120312101132000
511023044403321
6403525113200
751640036500
oct13066213600
93755773380
101490622336
116a5465695
12357258800
131a9a8aa68
14101d81a00
158ace5d26
hex58d91780

1490622336 has 144 divisors (see below), whose sum is σ = 4989923640. Its totient is φ = 425875968.

The previous prime is 1490622319. The next prime is 1490622347. The reversal of 1490622336 is 6332260941.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1490622336.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 43245 + ... + 69651.

Almost surely, 21490622336 is an apocalyptic number.

1490622336 is a gapful number since it is divisible by the number (16) 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 1490622336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494961820).

1490622336 is an abundant number, since it is smaller than the sum of its proper divisors (3499301304).

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

1490622336 is a wasteful number, since it uses less digits than its factorization.

1490622336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26441 (or 26419 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1490622336 is about 38608.5785286120. The cubic root of 1490622336 is about 1142.3237550037.

The spelling of 1490622336 in words is "one billion, four hundred ninety million, six hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 26407 28224 52814 56448 79221 105628 158442 184849 211256 237663 316884 369698 422512 475326 554547 633768 739396 845024 950652 1109094 1267536 1293943 1478792 1663641 1690048 1901304 2218188 2535072 2587886 2957584 3327282 3380096 3802608 3881829 4436376 5070144 5175772 5915168 6654564 7605216 7763658 8872752 10140288 10351544 11645487 11830336 13309128 15210432 15527316 17745504 20703088 23290974 23660672 26618256 30420864 31054632 35491008 41406176 46581948 53236512 62109264 70982016 82812352 93163896 106473024 124218528 165624704 186327792 212946048 248437056 372655584 496874112 745311168 1490622336