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1350379836 = 2234131718859
BaseRepresentation
bin101000001111101…
…0010100100111100
310111002222101220000
41100133102210330
510231144123321
6341555154300
745315016311
oct12037224474
93432871800
101350379836
116332883a3
123182a5990
131869c7230
14cb4b6d08
157d842826
hex507d293c

1350379836 has 120 divisors (see below), whose sum is σ = 4025553840. Its totient is φ = 391039488.

The previous prime is 1350379829. The next prime is 1350379843. The reversal of 1350379836 is 6389730531.

It is an interprime number because it is at equal distance from previous prime (1350379829) and next prime (1350379843).

It is a junction number, because it is equal to n+sod(n) for n = 1350379791 and 1350379800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62175 + ... + 81033.

It is an arithmetic number, because the mean of its divisors is an integer number (33546282).

Almost surely, 21350379836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350379836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012776920).

1350379836 is an abundant number, since it is smaller than the sum of its proper divisors (2675174004).

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

1350379836 is a wasteful number, since it uses less digits than its factorization.

1350379836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18905 (or 18894 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1350379836 is about 36747.5146914727. The cubic root of 1350379836 is about 1105.3130937825.

It can be divided in two parts, 13503 and 79836, that added together give a palindrome (93339).

The spelling of 1350379836 in words is "one billion, three hundred fifty million, three hundred seventy-nine thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 442 459 468 612 663 702 884 918 1053 1326 1377 1404 1836 1989 2106 2652 2754 3978 4212 5508 5967 7956 11934 17901 18859 23868 35802 37718 56577 71604 75436 113154 169731 226308 245167 320603 339462 490334 509193 641206 678924 735501 961809 980668 1018386 1282412 1471002 1527579 1923618 2036772 2206503 2885427 2942004 3055158 3847236 4167839 4413006 5770854 6110316 6619509 8335678 8656281 8826012 11541708 12503517 13239018 16671356 17312562 19858527 25007034 25968843 26478036 34625124 37510551 39717054 50014068 51937686 75021102 79434108 103875372 112531653 150042204 225063306 337594959 450126612 675189918 1350379836