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215440080 = 243523311259
BaseRepresentation
bin11001101011101…
…01101011010000
3120000101111020020
430311311223100
5420123040310
633213343440
75224132122
oct1465655320
9500344206
10215440080
11100679359
1260197b80
133583204b
1420881212
1513da9170
hexcd75ad0

215440080 has 160 divisors (see below), whose sum is σ = 719953920. Its totient is φ = 53137920.

The previous prime is 215440079. The next prime is 215440109. The reversal of 215440080 is 80044512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 215440080.

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, 170491 + ... + 171749.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2215440080 is an apocalyptic number.

215440080 is a gapful number since it is divisible by the number (20) 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 215440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359976960).

215440080 is an abundant number, since it is smaller than the sum of its proper divisors (504513840).

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

215440080 is a wasteful number, since it uses less digits than its factorization.

215440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 215440080 is about 14677.8772307170. The cubic root of 215440080 is about 599.4811069349.

Adding to 215440080 its reverse (80044512), we get a palindrome (295484592).

The spelling of 215440080 in words is "two hundred fifteen million, four hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 920 930 1104 1240 1259 1380 1426 1488 1840 1860 2139 2480 2518 2760 2852 3565 3720 3777 4278 5036 5520 5704 6295 7130 7440 7554 8556 10072 10695 11408 12590 14260 15108 17112 18885 20144 21390 25180 28520 28957 30216 34224 37770 39029 42780 50360 57040 57914 60432 75540 78058 85560 86871 100720 115828 117087 144785 151080 156116 171120 173742 195145 231656 234174 289570 302160 312232 347484 390290 434355 463312 468348 579140 585435 624464 694968 780580 868710 897667 936696 1158280 1170870 1389936 1561160 1737420 1795334 1873392 2316560 2341740 2693001 3122320 3474840 3590668 4488335 4683480 5386002 6949680 7181336 8976670 9366960 10772004 13465005 14362672 17953340 21544008 26930010 35906680 43088016 53860020 71813360 107720040 215440080