Search a number
-
+
1403199168 = 26375319699
BaseRepresentation
bin101001110100011…
…0001111011000000
310121210100220101120
41103220301323000
510333204333133
6351123232240
746525665450
oct12350617300
93553326346
101403199168
11660084338
12331b18680
1319492b987
14d4505d60
15832c7ab3
hex53a31ec0

1403199168 has 112 divisors (see below), whose sum is σ = 4323283200. Its totient is φ = 393329664.

The previous prime is 1403199151. The next prime is 1403199169. The reversal of 1403199168 is 8619913041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1403199169) 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, 61383 + ... + 81081.

Almost surely, 21403199168 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 1403199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161641600).

1403199168 is an abundant number, since it is smaller than the sum of its proper divisors (2920084032).

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

1403199168 is a wasteful number, since it uses less digits than its factorization.

1403199168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19774 (or 19764 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1403199168 is about 37459.3001536334. The cubic root of 1403199168 is about 1119.5404066692.

The spelling of 1403199168 in words is "one billion, four hundred three million, one hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 5088 5936 8904 10176 11872 17808 19699 23744 35616 39398 59097 71232 78796 118194 137893 157592 236388 275786 315184 413679 472776 551572 630368 827358 945552 1044047 1103144 1260736 1654716 1891104 2088094 2206288 3132141 3309432 3782208 4176188 4412576 6264282 6618864 7308329 8352376 8825152 12528564 13237728 14616658 16704752 21924987 25057128 26475456 29233316 33409504 43849974 50114256 58466632 66819008 87699948 100228512 116933264 175399896 200457024 233866528 350799792 467733056 701599584 1403199168