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1421412320 = 255109149547
BaseRepresentation
bin101010010111001…
…0000011111100000
310200001122020010202
41110232100133200
510402340143240
6353013444332
750136543146
oct12456203740
93601566122
101421412320
1166a394129
123380406a8
131986379a3
14d6ac7596
1584bc4315
hex54b907e0

1421412320 has 96 divisors (see below), whose sum is σ = 3417876000. Its totient is φ = 558544896.

The previous prime is 1421412299. The next prime is 1421412359. The reversal of 1421412320 is 232141241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1421412292 and 1421412301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2598287 + ... + 2598833.

It is an arithmetic number, because the mean of its divisors is an integer number (35602875).

Almost surely, 21421412320 is an apocalyptic number.

1421412320 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 1421412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708938000).

1421412320 is an abundant number, since it is smaller than the sum of its proper divisors (1996463680).

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

1421412320 is a wasteful number, since it uses less digits than its factorization.

1421412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1421412320 is about 37701.6222462642. The cubic root of 1421412320 is about 1124.3633784136.

Adding to 1421412320 its reverse (232141241), we get a palindrome (1653553561).

The spelling of 1421412320 in words is "one billion, four hundred twenty-one million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 149 160 218 298 436 545 547 596 745 872 1090 1094 1192 1490 1744 2180 2188 2384 2735 2980 3488 4360 4376 4768 5470 5960 8720 8752 10940 11920 16241 17440 17504 21880 23840 32482 43760 59623 64964 81205 81503 87520 119246 129928 162410 163006 238492 259856 298115 324820 326012 407515 476984 519712 596230 649640 652024 815030 953968 1192460 1299280 1304048 1630060 1907936 2384920 2598560 2608096 3260120 4769840 6520240 8883827 9539680 13040480 17767654 35535308 44419135 71070616 88838270 142141232 177676540 284282464 355353080 710706160 1421412320