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1409286480 = 243573972113
BaseRepresentation
bin101010000000000…
…0000000101010000
310122012211011121120
41110000000011100
510341234131410
6351501522240
746631510640
oct12400000520
93565734546
101409286480
11663561878
12333b73380
13195c80634
14d524c520
1583acb570
hex54000150

1409286480 has 160 divisors (see below), whose sum is σ = 5007846144. Its totient is φ = 321159168.

The previous prime is 1409286469. The next prime is 1409286499. The reversal of 1409286480 is 846829041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 4.

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, 665904 + ... + 668016.

Almost surely, 21409286480 is an apocalyptic number.

1409286480 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 1409286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503923072).

1409286480 is an abundant number, since it is smaller than the sum of its proper divisors (3598559664).

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

1409286480 is a wasteful number, since it uses less digits than its factorization.

1409286480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1409286480 is about 37540.4645682496. The cubic root of 1409286480 is about 1121.1569889128.

The spelling of 1409286480 in words is "one billion, four hundred nine million, two hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 397 420 560 794 840 1191 1588 1680 1985 2113 2382 2779 3176 3970 4226 4764 5558 5955 6339 6352 7940 8337 8452 9528 10565 11116 11910 12678 13895 14791 15880 16674 16904 19056 21130 22232 23820 25356 27790 29582 31695 31760 33348 33808 41685 42260 44373 44464 47640 50712 55580 59164 63390 66696 73955 83370 84520 88746 95280 101424 111160 118328 126780 133392 147910 166740 169040 177492 221865 222320 236656 253560 295820 333480 354984 443730 507120 591640 666960 709968 838861 887460 1183280 1677722 1774920 2516583 3355444 3549840 4194305 5033166 5872027 6710888 8388610 10066332 11744054 12582915 13421776 16777220 17616081 20132664 23488108 25165830 29360135 33554440 35232162 40265328 46976216 50331660 58720270 67108880 70464324 88080405 93952432 100663320 117440540 140928648 176160810 201326640 234881080 281857296 352321620 469762160 704643240 1409286480