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1335156240 = 243511523967
BaseRepresentation
bin100111110010100…
…1101111000010000
310110001022222001010
41033211031320100
510213244444430
6340253010520
745041432535
oct11745157020
93401288033
101335156240
1162572a710
12313183a40
131837c6ba2
14c9472d8c
157c336cb0
hex4f94de10

1335156240 has 160 divisors (see below), whose sum is σ = 4528567296. Its totient is φ = 322721280.

The previous prime is 1335156181. The next prime is 1335156281. The reversal of 1335156240 is 426515331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1335156198 and 1335156207.

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, 1380237 + ... + 1381203.

Almost surely, 21335156240 is an apocalyptic number.

1335156240 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 1335156240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264283648).

1335156240 is an abundant number, since it is smaller than the sum of its proper divisors (3193411056).

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

1335156240 is a wasteful number, since it uses less digits than its factorization.

1335156240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1335156240 is about 36539.7898187715. The cubic root of 1335156240 is about 1101.1437799824.

The spelling of 1335156240 in words is "one billion, three hundred thirty-five million, one hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 523 528 660 880 967 1046 1320 1569 1934 2092 2615 2640 2901 3138 3868 4184 4835 5230 5753 5802 6276 7736 7845 8368 9670 10460 10637 11506 11604 12552 14505 15472 15690 17259 19340 20920 21274 23012 23208 25104 28765 29010 31380 31911 34518 38680 41840 42548 46024 46416 53185 57530 58020 62760 63822 69036 77360 85096 86295 92048 106370 115060 116040 125520 127644 138072 159555 170192 172590 212740 230120 232080 255288 276144 319110 345180 425480 460240 505741 510576 638220 690360 850960 1011482 1276440 1380720 1517223 2022964 2528705 2552880 3034446 4045928 5057410 5563151 6068892 7586115 8091856 10114820 11126302 12137784 15172230 16689453 20229640 22252604 24275568 27815755 30344460 33378906 40459280 44505208 55631510 60688920 66757812 83447265 89010416 111263020 121377840 133515624 166894530 222526040 267031248 333789060 445052080 667578120 1335156240