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213029680 = 24523115777
BaseRepresentation
bin11001011001010…
…01001100110000
3112211212000210011
430230221030300
5414013422210
633045544304
75164502533
oct1454511460
9484760704
10213029680
11aa282396
125b415094
1335199b86
1420414a1a
1513a7ed8a
hexcb29330

213029680 has 40 divisors (see below), whose sum is σ = 516832992. Its totient is φ = 81506304.

The previous prime is 213029627. The next prime is 213029681. The reversal of 213029680 is 86920312.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (213029681) 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, 56049 + ... + 59728.

Almost surely, 2213029680 is an apocalyptic number.

213029680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213029680 is an abundant number, since it is smaller than the sum of its proper divisors (303803312).

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

213029680 is a wasteful number, since it uses less digits than its factorization.

213029680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115813 (or 115807 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 213029680 is about 14595.5363039527. The cubic root of 213029680 is about 597.2369996159.

Adding to 213029680 its reverse (86920312), we get a palindrome (299949992).

The spelling of 213029680 in words is "two hundred thirteen million, twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 115777 231554 463108 578885 926216 1157770 1852432 2315540 2662871 4631080 5325742 9262160 10651484 13314355 21302968 26628710 42605936 53257420 106514840 213029680