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215693920 = 25513103699
BaseRepresentation
bin11001101101100…
…11101001100000
3120000212101102201
430312303221200
5420204201140
633223022544
75226240151
oct1466635140
9500771381
10215693920
11100832042
126029aa54
13358c0750
1420909928
1513e0949a
hexcdb3a60

215693920 has 48 divisors (see below), whose sum is σ = 548780400. Its totient is φ = 79640064.

The previous prime is 215693897. The next prime is 215693923. The reversal of 215693920 is 29396512.

215693920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 215693920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215693923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49770 + ... + 53929.

It is an arithmetic number, because the mean of its divisors is an integer number (11432925).

Almost surely, 2215693920 is an apocalyptic number.

215693920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215693920 is an abundant number, since it is smaller than the sum of its proper divisors (333086480).

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

215693920 is a wasteful number, since it uses less digits than its factorization.

215693920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103727 (or 103719 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 215693920 is about 14686.5217121005. The cubic root of 215693920 is about 599.7164586208.

The spelling of 215693920 in words is "two hundred fifteen million, six hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 103699 207398 414796 518495 829592 1036990 1348087 1659184 2073980 2696174 3318368 4147960 5392348 6740435 8295920 10784696 13480870 16591840 21569392 26961740 43138784 53923480 107846960 215693920