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15220140 = 22351321979
BaseRepresentation
bin111010000011…
…110110101100
31001122021002220
4322003312230
512344021030
61302115340
7243240405
oct72036654
931567086
1015220140
118656131
12511bb50
1331cb900
1420429ac
151509a10
hexe83dac

15220140 has 144 divisors (see below), whose sum is σ = 49190400. Its totient is φ = 3504384.

The previous prime is 15220133. The next prime is 15220141. The reversal of 15220140 is 4102251.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (15220141) 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 47 ways as a sum of consecutive naturals, for example, 192621 + ... + 192699.

It is an arithmetic number, because the mean of its divisors is an integer number (341600).

Almost surely, 215220140 is an apocalyptic number.

15220140 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 15220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24595200).

15220140 is an abundant number, since it is smaller than the sum of its proper divisors (33970260).

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

15220140 is a wasteful number, since it uses less digits than its factorization.

15220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 15220140 is about 3901.2997834055. The cubic root of 15220140 is about 247.8218239796.

Adding to 15220140 its reverse (4102251), we get a palindrome (19322391).

The spelling of 15220140 in words is "fifteen million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 79 95 114 130 156 158 169 190 195 228 237 247 260 285 316 338 380 390 395 474 494 507 570 676 741 780 790 845 948 988 1014 1027 1140 1185 1235 1482 1501 1580 1690 2028 2054 2370 2470 2535 2964 3002 3081 3211 3380 3705 4108 4503 4740 4940 5070 5135 6004 6162 6422 7410 7505 9006 9633 10140 10270 12324 12844 13351 14820 15010 15405 16055 18012 19266 19513 20540 22515 26702 30020 30810 32110 38532 39026 40053 45030 48165 53404 58539 61620 64220 66755 78052 80106 90060 96330 97565 117078 133510 160212 192660 195130 200265 234156 253669 267020 292695 390260 400530 507338 585390 761007 801060 1014676 1170780 1268345 1522014 2536690 3044028 3805035 5073380 7610070 15220140