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215103680 = 26511531153
BaseRepresentation
bin11001101001000…
…11100011000000
3112222202101202222
430310203203000
5420031304210
633202230212
75221231301
oct1464434300
9488671688
10215103680
11100469640
1260055368
1335744bac
14207d47a8
1513d3e655
hexcd238c0

215103680 has 112 divisors (see below), whose sum is σ = 569817504. Its totient is φ = 76677120.

The previous prime is 215103667. The next prime is 215103697. The reversal of 215103680 is 86301512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185984 + ... + 187136.

Almost surely, 2215103680 is an apocalyptic number.

215103680 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 215103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284908752).

215103680 is an abundant number, since it is smaller than the sum of its proper divisors (354713824).

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

215103680 is a wasteful number, since it uses less digits than its factorization.

215103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 215103680 is about 14666.4133311454. The cubic root of 215103680 is about 599.1689234585.

The spelling of 215103680 in words is "two hundred fifteen million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 160 176 212 220 265 320 352 424 440 530 583 704 848 880 1060 1153 1166 1696 1760 2120 2306 2332 2915 3392 3520 4240 4612 4664 5765 5830 8480 9224 9328 11530 11660 12683 16960 18448 18656 23060 23320 25366 36896 37312 46120 46640 50732 61109 63415 73792 92240 93280 101464 122218 126830 184480 186560 202928 244436 253660 305545 368960 405856 488872 507320 611090 672199 811712 977744 1014640 1222180 1344398 1955488 2029280 2444360 2688796 3360995 3910976 4058560 4888720 5377592 6721990 9777440 10755184 13443980 19554880 21510368 26887960 43020736 53775920 107551840 215103680