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1401626940 = 2235726312689
BaseRepresentation
bin101001110001011…
…0010000100111100
310121200102000200220
41103202302010330
510332304030230
6351025421340
746506426630
oct12342620474
93550360626
101401626940
1165a20007a
1233149a850
131944cb16c
14d4216dc0
15830b6d10
hex538b213c

1401626940 has 96 divisors (see below), whose sum is σ = 4502615040. Its totient is φ = 319128576.

The previous prime is 1401626939. The next prime is 1401626953. The reversal of 1401626940 is 496261041.

1401626940 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104116 + ... + 116804.

It is an arithmetic number, because the mean of its divisors is an integer number (46902240).

Almost surely, 21401626940 is an apocalyptic number.

1401626940 is a gapful number since it is divisible by the number (10) 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 1401626940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251307520).

1401626940 is an abundant number, since it is smaller than the sum of its proper divisors (3100988100).

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

1401626940 is a wasteful number, since it uses less digits than its factorization.

1401626940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12971 (or 12969 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1401626940 is about 37438.3084553776. The cubic root of 1401626940 is about 1119.1221171337.

Adding to 1401626940 its reverse (496261041), we get a palindrome (1897887981).

The spelling of 1401626940 in words is "one billion, four hundred one million, six hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 263 420 526 789 1052 1315 1578 1841 2630 3156 3682 3945 5260 5523 7364 7890 9205 11046 12689 15780 18410 22092 25378 27615 36820 38067 50756 55230 63445 76134 88823 110460 126890 152268 177646 190335 253780 266469 355292 380670 444115 532938 761340 888230 1065876 1332345 1776460 2664690 3337207 5329380 6674414 10011621 13348828 16686035 20023242 23360449 33372070 40046484 46720898 50058105 66744140 70081347 93441796 100116210 116802245 140162694 200232420 233604490 280325388 350406735 467208980 700813470 1401626940