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215013720 = 23354767569
BaseRepresentation
bin11001101000011…
…01100101011000
3112222120211101010
430310031211120
5420020414340
633200253520
75220405105
oct1464154530
9488524333
10215013720
11100407a99
12600112a0
1335712c6c
14207adaac
1513d22b80
hexcd0d958

215013720 has 128 divisors (see below), whose sum is σ = 669772800. Its totient is φ = 55182336.

The previous prime is 215013707. The next prime is 215013731. The reversal of 215013720 is 27310512.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 377596 + ... + 378164.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2215013720 is an apocalyptic number.

215013720 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 215013720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

215013720 is an abundant number, since it is smaller than the sum of its proper divisors (454759080).

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

215013720 is a wasteful number, since it uses less digits than its factorization.

215013720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 215013720 is about 14663.3461392685. The cubic root of 215013720 is about 599.0853842830.

The spelling of 215013720 in words is "two hundred fifteen million, thirteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 67 94 120 134 141 188 201 235 268 282 335 376 402 470 536 564 569 670 705 804 940 1005 1128 1138 1340 1410 1608 1707 1880 2010 2276 2680 2820 2845 3149 3414 4020 4552 5640 5690 6298 6828 8040 8535 9447 11380 12596 13656 15745 17070 18894 22760 25192 26743 31490 34140 37788 38123 47235 53486 62980 68280 75576 76246 80229 94470 106972 114369 125960 133715 152492 160458 188940 190615 213944 228738 267430 304984 320916 377880 381230 401145 457476 534860 571845 641832 762460 802290 914952 1069720 1143690 1524920 1604580 1791781 2287380 3209160 3583562 4574760 5375343 7167124 8958905 10750686 14334248 17917810 21501372 26876715 35835620 43002744 53753430 71671240 107506860 215013720