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213376896 = 2733292129
BaseRepresentation
bin11001011011111…
…01111110000000
3112212111200002000
430231331332000
5414111030041
633101224000
75200450035
oct1455757600
9485450060
10213376896
11aa49a247
125b562000
133528bc25
14204a538c
1513aecbb6
hexcb7df80

213376896 has 128 divisors (see below), whose sum is σ = 651780000. Its totient is φ = 68640768.

The previous prime is 213376873. The next prime is 213376901. The reversal of 213376896 is 698673312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99160 + ... + 101288.

Almost surely, 2213376896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325890000).

213376896 is an abundant number, since it is smaller than the sum of its proper divisors (438403104).

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

213376896 is a wasteful number, since it uses less digits than its factorization.

213376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2163 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 213376896 is about 14607.4260566330. The cubic root of 213376896 is about 597.5613013440.

The spelling of 213376896 in words is "two hundred thirteen million, three hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2129 2784 3132 3456 3712 4176 4258 5568 6264 6387 8352 8516 11136 12528 12774 16704 17032 19161 25056 25548 33408 34064 38322 50112 51096 57483 61741 68128 76644 100224 102192 114966 123482 136256 153288 185223 204384 229932 246964 272512 306576 370446 408768 459864 493928 555669 613152 740892 817536 919728 987856 1111338 1226304 1481784 1667007 1839456 1975712 2222676 2452608 2963568 3334014 3678912 3951424 4445352 5927136 6668028 7357824 7902848 8890704 11854272 13336056 17781408 23708544 26672112 35562816 53344224 71125632 106688448 213376896