Search a number
-
+
1400162688 = 27322941911
BaseRepresentation
bin101001101110100…
…1100100110000000
310121120122122010100
41103131030212000
510331420201223
6350534202400
746461120651
oct12335144600
93546578110
101400162688
1165939aa51
12330ab3400
13194107842
14d3d55528
1582dc8043
hex5374c980

1400162688 has 96 divisors (see below), whose sum is σ = 4168148400. Its totient is φ = 450616320.

The previous prime is 1400162677. The next prime is 1400162693. The reversal of 1400162688 is 8862610041.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 12453 + ... + 54363.

Almost surely, 21400162688 is an apocalyptic number.

1400162688 is a gapful number since it is divisible by the number (18) 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 1400162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084074200).

1400162688 is an abundant number, since it is smaller than the sum of its proper divisors (2767985712).

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

1400162688 is a wasteful number, since it uses less digits than its factorization.

1400162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41960 (or 41945 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1400162688 is about 37418.7478144312. The cubic root of 1400162688 is about 1118.7322730855.

The spelling of 1400162688 in words is "one billion, four hundred million, one hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 41911 83822 125733 167644 251466 335288 377199 502932 670576 754398 1005864 1215419 1341152 1508796 2011728 2430838 2682304 3017592 3646257 4023456 4861676 5364608 6035184 7292514 8046912 9723352 10938771 12070368 14585028 16093824 19446704 21877542 24140736 29170056 38893408 43755084 48281472 58340112 77786816 87510168 116680224 155573632 175020336 233360448 350040672 466720896 700081344 1400162688