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14887920 = 2435174189
BaseRepresentation
bin111000110010…
…101111110000
31001000101101110
4320302233300
512302403140
61251033320
7240355005
oct70625760
931011343
1014887920
118449573
124b9b840
133113628
141d978ac
151491380
hexe32bf0

14887920 has 160 divisors (see below), whose sum is σ = 50621760. Its totient is φ = 3604480.

The previous prime is 14887913. The next prime is 14887921. The reversal of 14887920 is 2978841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14887921) by changing a digit.

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, 167236 + ... + 167324.

It is an arithmetic number, because the mean of its divisors is an integer number (316386).

Almost surely, 214887920 is an apocalyptic number.

14887920 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 14887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880).

14887920 is an abundant number, since it is smaller than the sum of its proper divisors (35733840).

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

14887920 is a wasteful number, since it uses less digits than its factorization.

14887920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 14887920 is about 3858.4867500096. The cubic root of 14887920 is about 246.0054199348.

The spelling of 14887920 in words is "fourteen million, eight hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 41 48 51 60 68 80 82 85 89 102 120 123 136 164 170 178 204 205 240 246 255 267 272 328 340 356 408 410 445 492 510 534 615 656 680 697 712 816 820 890 984 1020 1068 1230 1335 1360 1394 1424 1513 1640 1780 1968 2040 2091 2136 2460 2670 2788 3026 3280 3485 3560 3649 4080 4182 4272 4539 4920 5340 5576 6052 6970 7120 7298 7565 8364 9078 9840 10455 10680 10947 11152 12104 13940 14596 15130 16728 18156 18245 20910 21360 21894 22695 24208 27880 29192 30260 33456 36312 36490 41820 43788 45390 54735 55760 58384 60520 62033 72624 72980 83640 87576 90780 109470 121040 124066 145960 167280 175152 181560 186099 218940 248132 291920 310165 363120 372198 437880 496264 620330 744396 875760 930495 992528 1240660 1488792 1860990 2481320 2977584 3721980 4962640 7443960 14887920