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1355215014 = 2321947591429
BaseRepresentation
bin101000011000110…
…1111000010100110
310111110002001111200
41100301233002212
510233413340024
6342250543330
745404065116
oct12061570246
93443061450
101355215014
11635a9010a
12319a37b46
131879cac9a
14cbdb5046
157de9a2c9
hex50c6f0a6

1355215014 has 96 divisors (see below), whose sum is σ = 3212352000. Its totient is φ = 411469632.

The previous prime is 1355215009. The next prime is 1355215087. The reversal of 1355215014 is 4105125531.

1355215014 is a `hidden beast` number, since 135 + 5 + 21 + 501 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947652 + ... + 949080.

It is an arithmetic number, because the mean of its divisors is an integer number (33462000).

Almost surely, 21355215014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355215014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606176000).

1355215014 is an abundant number, since it is smaller than the sum of its proper divisors (1857136986).

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

1355215014 is a wasteful number, since it uses less digits than its factorization.

1355215014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1355215014 is about 36813.2450892338. The cubic root of 1355215014 is about 1106.6307525522.

The spelling of 1355215014 in words is "one billion, three hundred fifty-five million, two hundred fifteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 47 57 59 94 114 118 141 171 177 282 342 354 423 531 846 893 1062 1121 1429 1786 2242 2679 2773 2858 3363 4287 5358 5546 6726 8037 8319 8574 10089 12861 16074 16638 20178 24957 25722 27151 49914 52687 54302 67163 81453 84311 105374 134326 158061 162906 168622 201489 244359 252933 316122 402978 474183 488718 505866 604467 758799 948366 1208934 1276097 1517598 1601909 2552194 3203818 3828291 3962617 4805727 7656582 7925234 9611454 11484873 11887851 14417181 22969746 23775702 28834362 35663553 71327106 75289723 150579446 225869169 451738338 677607507 1355215014