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14899140 = 2234517541
BaseRepresentation
bin111000110101…
…011111000100
31001000221210000
4320311133010
512303233030
61251201300
7240432504
oct70653704
931027700
1014899140
118456a43
124ba6230
133118779
141d9ba04
151494860
hexe357c4

14899140 has 120 divisors (see below), whose sum is σ = 49579992. Its totient is φ = 3732480.

The previous prime is 14899133. The next prime is 14899153. The reversal of 14899140 is 4199841.

It can be written as a sum of positive squares in 4 ways, for example, as 2452356 + 12446784 = 1566^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14899095 and 14899104.

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 39 ways as a sum of consecutive naturals, for example, 27270 + ... + 27810.

Almost surely, 214899140 is an apocalyptic number.

14899140 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 14899140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24789996).

14899140 is an abundant number, since it is smaller than the sum of its proper divisors (34680852).

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

14899140 is a wasteful number, since it uses less digits than its factorization.

14899140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 14899140 is about 3859.9404140479. The cubic root of 14899140 is about 246.0672035311.

The spelling of 14899140 in words is "fourteen million, eight hundred ninety-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 541 612 765 810 918 1020 1082 1377 1530 1620 1623 1836 2164 2295 2705 2754 3060 3246 4590 4869 5410 5508 6492 6885 8115 9180 9197 9738 10820 13770 14607 16230 18394 19476 24345 27540 27591 29214 32460 36788 43821 45985 48690 55182 58428 73035 82773 87642 91970 97380 110364 137955 146070 165546 175284 183940 219105 248319 275910 292140 331092 413865 438210 496638 551820 744957 827730 876420 993276 1241595 1489914 1655460 2483190 2979828 3724785 4966380 7449570 14899140