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215000960 = 2751917681
BaseRepresentation
bin11001101000010…
…10011110000000
3112222120011212112
430310022132000
5420020012320
633200114452
75220322646
oct1464123600
9488504775
10215000960
111003a9449
1260005a28
133570a205
14207a9196
1513d1dec5
hexcd0a780

215000960 has 64 divisors (see below), whose sum is σ = 541069200. Its totient is φ = 81469440.

The previous prime is 215000927. The next prime is 215001013. The reversal of 215000960 is 69000512.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3320 + ... + 21000.

Almost surely, 2215000960 is an apocalyptic number.

215000960 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 215000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270534600).

215000960 is an abundant number, since it is smaller than the sum of its proper divisors (326068240).

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

215000960 is a wasteful number, since it uses less digits than its factorization.

215000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17719 (or 17707 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 215000960 is about 14662.9110343069. The cubic root of 215000960 is about 599.0735331312.

The spelling of 215000960 in words is "two hundred fifteen million, nine hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 17681 35362 70724 88405 141448 176810 282896 335939 353620 565792 671878 707240 1131584 1343756 1414480 1679695 2263168 2687512 2828960 3359390 5375024 5657920 6718780 10750048 11315840 13437560 21500096 26875120 43000192 53750240 107500480 215000960