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1420201296 = 243341181443
BaseRepresentation
bin101010010100110…
…1000110101010000
310122222100200221000
41110221220311100
510402032420141
6352531502000
750123340363
oct12451506520
93588320830
101420201296
11669737288
12337757900
131983026c7
14d68900da
1584a355b6
hex54a68d50

1420201296 has 160 divisors (see below), whose sum is σ = 4208480640. Its totient is φ = 458265600.

The previous prime is 1420201271. The next prime is 1420201313. The reversal of 1420201296 is 6921020241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3205651 + ... + 3206093.

It is an arithmetic number, because the mean of its divisors is an integer number (26303004).

Almost surely, 21420201296 is an apocalyptic number.

1420201296 is a gapful number since it is divisible by the number (16) 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 1420201296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104240320).

1420201296 is an abundant number, since it is smaller than the sum of its proper divisors (2788279344).

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

1420201296 is a wasteful number, since it uses less digits than its factorization.

1420201296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1420201296 is about 37685.5581887810. The cubic root of 1420201296 is about 1124.0439735754.

The spelling of 1420201296 in words is "one billion, four hundred twenty million, two hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 181 216 246 328 362 369 432 443 492 543 656 724 738 886 984 1086 1107 1329 1448 1476 1629 1772 1968 2172 2214 2658 2896 2952 3258 3544 3987 4344 4428 4887 5316 5904 6516 7088 7421 7974 8688 8856 9774 10632 11961 13032 14842 15948 17712 18163 19548 21264 22263 23922 26064 29684 31896 36326 39096 44526 47844 54489 59368 63792 66789 72652 78192 80183 89052 95688 108978 118736 133578 145304 160366 163467 178104 191376 200367 217956 240549 267156 290608 320732 326934 356208 400734 435912 481098 490401 534312 641464 653868 721647 801468 871824 962196 980802 1068624 1282928 1307736 1443294 1602936 1924392 1961604 2164941 2615472 2886588 3205872 3287503 3848784 3923208 4329882 5773176 6575006 7846416 8659764 9862509 11546352 13150012 17319528 19725018 26300024 29587527 34639056 39450036 52600048 59175054 78900072 88762581 118350108 157800144 177525162 236700216 355050324 473400432 710100648 1420201296