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1405354212 = 223441671579
BaseRepresentation
bin101001111000100…
…0000000011100100
310121221102101120000
41103301000003210
510334232313322
6351241341300
746553212413
oct12361000344
93557371500
101405354212
11661316469
12332797830
13195204852
14d490747a
15835a13ac
hex53c400e4

1405354212 has 120 divisors (see below), whose sum is σ = 3822070560. Its totient is φ = 449919360.

The previous prime is 1405354189. The next prime is 1405354231. The reversal of 1405354212 is 2124535041.

It is a super-2 number, since 2×14053542122 = 3950040922372281888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 889239 + ... + 890817.

It is an arithmetic number, because the mean of its divisors is an integer number (31850588).

Almost surely, 21405354212 is an apocalyptic number.

1405354212 is a gapful number since it is divisible by the number (12) 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 1405354212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911035280).

1405354212 is an abundant number, since it is smaller than the sum of its proper divisors (2416716348).

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

1405354212 is a wasteful number, since it uses less digits than its factorization.

1405354212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1405354212 is about 37488.0542573231. The cubic root of 1405354212 is about 1120.1132464146.

Adding to 1405354212 its reverse (2124535041), we get a palindrome (3529889253).

It can be divided in two parts, 14053 and 54212, that added together give a triangular number (68265 = T369).

The spelling of 1405354212 in words is "one billion, four hundred five million, three hundred fifty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 67 81 82 108 123 134 162 164 201 246 268 324 369 402 492 603 738 804 1107 1206 1476 1579 1809 2214 2412 2747 3158 3321 3618 4428 4737 5427 5494 6316 6642 7236 8241 9474 10854 10988 13284 14211 16482 18948 21708 24723 28422 32964 42633 49446 56844 64739 74169 85266 98892 105793 127899 129478 148338 170532 194217 211586 222507 255798 258956 296676 317379 388434 423172 445014 511596 582651 634758 776868 890028 952137 1165302 1269516 1747953 1904274 2330604 2856411 3495906 3808548 4337513 5243859 5712822 6991812 8569233 8675026 10487718 11425644 13012539 17138466 17350052 20975436 26025078 34276932 39037617 52050156 78075234 117112851 156150468 234225702 351338553 468451404 702677106 1405354212