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67216896 = 293229503
BaseRepresentation
bin1000000000110…
…10011000000000
311200110222020200
410000122120000
5114201420041
610400405200
71444222425
oct400323000
9150428220
1067216896
1134a4005a
121a616800
1310c05b16
148cd9d4c
155d7b1b6
hex401a600

67216896 has 120 divisors (see below), whose sum is σ = 201080880. Its totient is φ = 21590016.

The previous prime is 67216859. The next prime is 67216967. The reversal of 67216896 is 69861276.

It is a super-2 number, since 2×672168962 = 9036222215749632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133381 + ... + 133883.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674).

Almost surely, 267216896 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 67216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100540440).

67216896 is an abundant number, since it is smaller than the sum of its proper divisors (133863984).

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

67216896 is a wasteful number, since it uses less digits than its factorization.

67216896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 537 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 67216896 is about 8198.5910984754. The cubic root of 67216896 is about 406.5926133485.

The spelling of 67216896 in words is "sixty-seven million, two hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 503 512 522 576 696 768 928 1006 1044 1152 1392 1509 1536 1856 2012 2088 2304 2784 3018 3712 4024 4176 4527 4608 5568 6036 7424 8048 8352 9054 11136 12072 14587 14848 16096 16704 18108 22272 24144 29174 32192 33408 36216 43761 44544 48288 58348 64384 66816 72432 87522 96576 116696 128768 131283 133632 144864 175044 193152 233392 257536 262566 289728 350088 386304 466784 525132 579456 700176 772608 933568 1050264 1158912 1400352 1867136 2100528 2317824 2800704 3734272 4201056 5601408 7468544 8402112 11202816 16804224 22405632 33608448 67216896