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1335828380 = 2251741791213
BaseRepresentation
bin100111110011111…
…0001111110011100
310110002121010001012
41033213301332130
510213433002010
6340315234352
745050232245
oct11747617634
93402533035
101335828380
116260496a7
123134489b8
131839a0ac3
14c95a9ccc
157c41b005
hex4f9f1f9c

1335828380 has 96 divisors (see below), whose sum is σ = 3083754240. Its totient is φ = 484024320.

The previous prime is 1335828371. The next prime is 1335828391. The reversal of 1335828380 is 838285331.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100654 + ... + 1101866.

It is an arithmetic number, because the mean of its divisors is an integer number (32122440).

Almost surely, 21335828380 is an apocalyptic number.

1335828380 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 1335828380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541877120).

1335828380 is an abundant number, since it is smaller than the sum of its proper divisors (1747925860).

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

1335828380 is a wasteful number, since it uses less digits than its factorization.

1335828380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 1335828380 is about 36548.9860324469. The cubic root of 1335828380 is about 1101.3285270544.

The spelling of 1335828380 in words is "one billion, three hundred thirty-five million, eight hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 41 68 79 82 85 158 164 170 205 316 340 395 410 697 790 820 1213 1343 1394 1580 2426 2686 2788 3239 3485 4852 5372 6065 6478 6715 6970 12130 12956 13430 13940 16195 20621 24260 26860 32390 41242 49733 55063 64780 82484 95827 99466 103105 110126 191654 198932 206210 220252 248665 275315 383308 412420 479135 497330 550630 845461 958270 994660 1101260 1629059 1690922 1916540 3258118 3381844 3928907 4227305 6516236 7857814 8145295 8454610 15715628 16290590 16909220 19644535 32581180 39289070 66791419 78578140 133582838 267165676 333957095 667914190 1335828380