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1214157360 = 2435131013853
BaseRepresentation
bin100100001011110…
…1001001000110000
310010121122120210010
41020113221020300
54441311013420
6320251334520
742042111243
oct11027511060
93117576703
101214157360
115733a6439
1229a751440
13164710410
14b737725a
15718d54e0
hex485e9230

1214157360 has 160 divisors (see below), whose sum is σ = 4094612928. Its totient is φ = 295833600.

The previous prime is 1214157349. The next prime is 1214157379. The reversal of 1214157360 is 637514121.

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

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, 313194 + ... + 317046.

Almost surely, 21214157360 is an apocalyptic number.

1214157360 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 1214157360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047306464).

1214157360 is an abundant number, since it is smaller than the sum of its proper divisors (2880455568).

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

1214157360 is a wasteful number, since it uses less digits than its factorization.

1214157360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1214157360 is about 34844.7608687447. The cubic root of 1214157360 is about 1066.8212527692.

The spelling of 1214157360 in words is "one billion, two hundred fourteen million, one hundred fifty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 101 104 120 130 156 195 202 208 240 260 303 312 390 404 505 520 606 624 780 808 1010 1040 1212 1313 1515 1560 1616 2020 2424 2626 3030 3120 3853 3939 4040 4848 5252 6060 6565 7706 7878 8080 10504 11559 12120 13130 15412 15756 19265 19695 21008 23118 24240 26260 30824 31512 38530 39390 46236 50089 52520 57795 61648 63024 77060 78780 92472 100178 105040 115590 150267 154120 157560 184944 200356 231180 250445 300534 308240 315120 389153 400712 462360 500890 601068 751335 778306 801424 924720 1001780 1167459 1202136 1502670 1556612 1945765 2003560 2334918 2404272 3005340 3113224 3891530 4007120 4669836 5058989 5837295 6010680 6226448 7783060 9339672 10117978 11674590 12021360 15176967 15566120 18679344 20235956 23349180 25294945 30353934 31132240 40471912 46698360 50589890 60707868 75884835 80943824 93396720 101179780 121415736 151769670 202359560 242831472 303539340 404719120 607078680 1214157360