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1406111960 = 235112353823
BaseRepresentation
bin101001111001111…
…1001000011011000
310121222211212222202
41103303321003120
510334431040320
6351305505332
746562516531
oct12363710330
93558755882
101406111960
11661793800
12332aa2248
1319540b716
14d4a63688
15836a0b75
hex53cf90d8

1406111960 has 96 divisors (see below), whose sum is σ = 3491601120. Its totient is φ = 509245440.

The previous prime is 1406111953. The next prime is 1406111977. The reversal of 1406111960 is 691116041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1708109 + ... + 1708931.

It is an arithmetic number, because the mean of its divisors is an integer number (36370845).

Almost surely, 21406111960 is an apocalyptic number.

1406111960 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 1406111960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745800560).

1406111960 is an abundant number, since it is smaller than the sum of its proper divisors (2085489160).

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

1406111960 is a wasteful number, since it uses less digits than its factorization.

1406111960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 1406111960 is about 37498.1594214969. The cubic root of 1406111960 is about 1120.3145268850.

The spelling of 1406111960 in words is "one billion, four hundred six million, one hundred eleven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 353 440 484 605 706 823 968 1210 1412 1646 1765 2420 2824 3292 3530 3883 4115 4840 6584 7060 7766 8230 9053 14120 15532 16460 18106 19415 31064 32920 36212 38830 42713 45265 72424 77660 85426 90530 99583 155320 170852 181060 199166 213565 290519 341704 362120 398332 427130 497915 581038 796664 854260 995830 1162076 1452595 1708520 1991660 2324152 2905190 3195709 3983320 5810380 6391418 11620760 12782836 15978545 25565672 31957090 35152799 63914180 70305598 127828360 140611196 175763995 281222392 351527990 703055980 1406111960