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67869216 = 25321979157
BaseRepresentation
bin1000000101110…
…01101000100000
311201201010001200
410002321220200
5114333303331
610422401200
71452610302
oct402715040
9151633050
1067869216
1135346168
121a890200
13110a39cc
149029972
155e595e6
hex40b9a20

67869216 has 144 divisors (see below), whose sum is σ = 207043200. Its totient is φ = 21026304.

The previous prime is 67869209. The next prime is 67869223. The reversal of 67869216 is 61296876.

It is an interprime number because it is at equal distance from previous prime (67869209) and next prime (67869223).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432210 + ... + 432366.

It is an arithmetic number, because the mean of its divisors is an integer number (1437800).

Almost surely, 267869216 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 67869216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103521600).

67869216 is an abundant number, since it is smaller than the sum of its proper divisors (139173984).

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

67869216 is a wasteful number, since it uses less digits than its factorization.

67869216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

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

The square root of 67869216 is about 8238.2774898640. The cubic root of 67869216 is about 407.9036681452.

The spelling of 67869216 in words is "sixty-seven million, eight hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 79 96 114 144 152 157 158 171 228 237 288 304 314 316 342 456 471 474 608 628 632 684 711 912 942 948 1256 1264 1368 1413 1422 1501 1824 1884 1896 2512 2528 2736 2826 2844 2983 3002 3768 3792 4503 5024 5472 5652 5688 5966 6004 7536 7584 8949 9006 11304 11376 11932 12008 12403 13509 15072 17898 18012 22608 22752 23864 24016 24806 26847 27018 35796 36024 37209 45216 47728 48032 49612 53694 54036 71592 72048 74418 95456 99224 107388 108072 111627 143184 144096 148836 198448 214776 216144 223254 235657 286368 297672 396896 429552 432288 446508 471314 595344 706971 859104 893016 942628 1190688 1413942 1786032 1885256 2120913 2827884 3572064 3770512 4241826 5655768 7541024 8483652 11311536 16967304 22623072 33934608 67869216