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1420358592 = 263131149379
BaseRepresentation
bin101010010101000…
…1111001111000000
310122222122200200210
41110222033033000
510402102433332
6352535114120
750124564102
oct12452171700
93588580623
101420358592
11669834484
12337812940
13198359193
14d68d1572
1584a66ecc
hex54a8f3c0

1420358592 has 112 divisors (see below), whose sum is σ = 3822192000. Its totient is φ = 465454080.

The previous prime is 1420358581. The next prime is 1420358593. The reversal of 1420358592 is 2958530241.

It is a self number, because there is not a number n which added to its sum of digits gives 1420358592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420358593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3747459 + ... + 3747837.

Almost surely, 21420358592 is an apocalyptic number.

1420358592 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 1420358592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911096000).

1420358592 is an abundant number, since it is smaller than the sum of its proper divisors (2401833408).

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

1420358592 is a wasteful number, since it uses less digits than its factorization.

1420358592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1420358592 is about 37687.6450842979. The cubic root of 1420358592 is about 1124.0854702971.

The spelling of 1420358592 in words is "one billion, four hundred twenty million, three hundred fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 149 192 262 298 379 393 447 524 596 758 786 894 1048 1137 1192 1516 1572 1788 2096 2274 2384 3032 3144 3576 4192 4548 4768 6064 6288 7152 8384 9096 9536 12128 12576 14304 18192 19519 24256 25152 28608 36384 39038 49649 56471 58557 72768 78076 99298 112942 117114 148947 156152 169413 198596 225884 234228 297894 312304 338826 397192 451768 468456 595788 624608 677652 794384 903536 936912 1191576 1249216 1355304 1588768 1807072 1873824 2383152 2710608 3177536 3614144 3747648 4766304 5421216 7397701 9532608 10842432 14795402 22193103 29590804 44386206 59181608 88772412 118363216 177544824 236726432 355089648 473452864 710179296 1420358592